Recent puzzles under tag geometry

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What is the area of AFCE, the region shaded in blue?

posted Nov 9, 2022 by Samardeep Acharya

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Semicircle DE has a right triangle DEF placed over it, where point F is exterior to the semicircle. Let the region......

posted Oct 27, 2022 by Nikhil Pandey

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Solve for the perimeter of a triangle whose altitudes have lengths of 170, 210, and 357.

posted Oct 13, 2022 by Simranjeet Singh

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Dinesh was curious to know the angle between the hour and minute hands of a clock, so when he see10:10 in a clock.......

posted Oct 12, 2022 by Yogeshwar Thakur

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Three spheres are tangent to a plane at the vertices of a triangle and are tangent to each other. Find the radii........

posted Sep 28, 2022 by Sandeep Otari

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A square pyramid has base PQRS and vertex O. Each edge has length equal to 20. Calculate the shortest distance..........

posted Sep 19, 2022 by Prachi Sharma

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A boy started from one corner of a rectangular path and walks along the adjacent sides to reach opposite corner.........

posted Sep 6, 2022 by Karan Joglekar

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A cuboidal block of 8 cm x 12 cm x 20 cm is cut into an exact number of equal cubes. What will be the least possible....

posted Sep 2, 2022 by Yogeshwar Thakur

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In square ABCD, construct M along AB and N along BC. Then construct AN, DM, and CM. Let AN∩DM = P, AN∩CM = Q..........

posted Sep 2, 2022 by Rahul Vaidya

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If PQR is a triangle such that PQ = 15 cm, PR = 15 cm and QR = 18 cm, then what will be the altitude to side PR?

posted Aug 24, 2022 by Upma

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A circle with radius 1 is divided into 12 congruent regions, as shown below. What is the perimeter of a single region?

posted Aug 17, 2022 by Simranjeet Singh

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Square ABCD lies on a flat surface and has regular hexagons attached as flaps on sides AB and AD. Each flap............

posted Aug 11, 2022 by Udita

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What is the distance between the centers of circles X and Y?

posted Jul 12, 2022 by Nikita Sehgal

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Imagine a twelve by twelve square. How many rectangles of any size can you construct from it?

posted Jul 4, 2022 by Varun Kumar

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Three squares are constructed on the three sides of an equilateral triangle. Each......What is the radius of the circle?

posted Jun 22, 2022 by Atif

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In trapezoid ABCD, the sides AB and CD are parallel and AB > CD. Point P is in the interior, dividing the trapezoid.....

posted Jun 3, 2022 by Kapil Kapoor

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Three congruent circles are pairwise tangent and each has a radius equal to 2. A circle circumscribes..............

posted May 18, 2022 by Dilbagh

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A hexagon has interior angles in................What is the measure of largest interior angle of this hexagon?

posted Apr 5, 2022 by Karan Joglekar

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Triangle ABC is an isosceles triangle with AB = AC and A = 100°. Extend the ray........What is the measure of angle BDC?

posted Apr 1, 2022 by Mishthy Mukherjee

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A cuboid with sides in the ratio of 8:5:6 is cut perpendicular...........what is the volume of original cuboid (in cm2)?

posted Mar 23, 2022 by Amarvansh

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In the image below, can you find the value of an angle(y)?

posted Mar 18, 2022 by Nikita Sehgal

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Triangle ABC has sides AB = 8, BC = 7, and AC = 9. The segments AB and AC...............What is the radius of circle O?

posted Mar 4, 2022 by Sidharth Malhotra

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A cyclist starts with a constant speed of 20 km/hr from a corner of a rectangular park and he completes one round.......

posted Feb 23, 2022 by Deepak Chitragar

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A semicircle contains an inscribed semicircle, as shown, dividing its diameter into lengths of 2 and 1.............

posted Feb 11, 2022 by Vikram Luthra

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What is the area of the tilted square?

posted Jan 27, 2022 by Maninder Bath

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Construct a square. Construct 4 semicircles, each with diameter spanning...............what is the area shaded in blue?

posted Dec 31, 2021 by Vikram Luthra

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How many straight lines can be drawn with 26 points on a plane of which no points are collinear?

posted Dec 15, 2021 by Varun Kumar

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Square ABCD is inscribed in a quarter circle O such that B and C are on the arc..........what is the area of the square?

posted Dec 8, 2021 by Karan Joglekar

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You are given a circle with diameter AB and a point C. You are to construct a perpendicular CD to the diameter..........

posted Nov 24, 2021 by Pardeep Kohli

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A circle has two non-intersecting chords AB and CD. Chord RS intersects..................what is the length of chord RS?

posted Nov 18, 2021 by Nikita Sehgal

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What is the length of the common external tangent to two tangent circles of radii 8 inches and 2 inches?

posted Oct 28, 2021 by Rahul Vaidya

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What is the area of the region inside the square not covered by the four triangles?

posted Oct 18, 2021 by Saif Khanam

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If each semicircle has a diameter equal to 2, what is the length of AD?

posted Oct 4, 2021 by Vikram Luthra

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What is the value of a + b + c?

posted Sep 18, 2021 by Ritika

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The angle between two rays is 60 degrees, and the two rays contain three.........what is the radius of the third circle?

posted Aug 31, 2021 by Deepak Chitragar

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A triangle is divided by 8 parallel lines that are equally spaced.............what is the total area of the red stripes?

posted Aug 17, 2021 by Prachi Sharma

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What is the area of the rectangle? What is the minimum area for a triangle that satisfies the conditions?

posted Aug 3, 2021 by Tapesh Kulkarni

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What is the sum of all areas shaded in blue in the following figure?

posted Jul 14, 2021 by Pushpak Chauhan

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The nine Horses are square fenced as shown in the picture below. By constructing just two square fences can.............

posted Jul 8, 2021 by Atif

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Three rectangles are in a row, as shown below. The first and second............what is the area of the second rectangle?

posted Jun 29, 2021 by Brijesh Talwar

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A square contains a semicircle and a quarter circle, as shown. The two circles are tangent to each other................

posted Jun 7, 2021 by Swati Arora

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Suppose ABCD is a square. Let E be interior to the square such that EDC = ECD = 15°. What is the measure of angle EBC?

posted May 24, 2021 by Karan Joglekar

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A clock is started at noon. By 10 minutes past 5, the hour hand has turned through how many degrees?

posted May 20, 2021 by Mishthy Mukherjee

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There are four sticks of length ‘a’ and four more sticks of length ‘b’. The length of ‘b’ is exactly half...............

posted May 18, 2021 by Mohammad

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What is the area of the entire rectangle?

posted May 10, 2021 by Puneet Batra

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A rectangle measures 17 units by 26 units and contains 7 squares, as shown below. What is the area of a single square?

posted Apr 26, 2021 by Sandeep Otari

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A copy of square ABCD is rotated clockwise about vertex A to square A’B’C’D’..........What is the measure of angle D’ED?

posted Apr 12, 2021 by Kapil Kapoor

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The internal angles of a triangle add up to how many degrees?

posted Apr 1, 2021 by Maninder Bath

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A circle has diameter AB. A line starts at A and zig-zags exactly 4 times between....................what is α equal to?

posted Mar 22, 2021 by Ujjwal Mehra

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What is the area of the resulting hexagon, as shown below?

posted Mar 11, 2021 by Swati Arora