top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

A circle has a radius of 12 units and its center is at one vertex of a square. Find the area of the shaded region?

+3 votes
1,784 views

A circle has a radius of 12 units and its center is at one vertex of a square. The square has a side of 12 units. Find the area of the shaded region?

enter image description here

posted Jun 16, 2015 by Tapesh Kulkarni

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

4 Answers

+4 votes
 
Best answer

Area of shaded region = Half the area of square.
i.e., (12*12)/2 = 72 sq. units

answer Jun 24, 2015 by Kuldeep Katiyar
+1 vote

area of yellow sector inside circle=144*pi/8=56.54862 sq cm
therefore area of both sectors= 113.09724 sq cm
area outside the circle= 144-113.09724 = 30.90276 sq cm
thus yellow area outside circle = 15.45138 sq cm
hence whole yellow area= 56.54862+15.45138=72 sq cm

without calculations
since white area and yellow area are same each=0.5*144=72 sq cm

answer Jul 3, 2015 by Kewal Panesar
+1 vote

This can be solved visually by looking at the shaded bisected area of the upper left hand corner and concluding that
it forms 1/2 of the square.

thus: 1/2*144 = 72

answer Oct 26, 2016 by George Davros
0 votes

The area of the shaded region = half of the square =12x12/2= 72 unit^2

answer Oct 8, 2017 by Halil Akansel



Similar Puzzles
+1 vote

The given figure shows a circle, centred at O, enclosed in a square. Find the total area of shaded parts?
enter image description here

+3 votes

Each circle has radius 1. What is the area of the green region in the following image?

What is the area of green region

+1 vote

7 non-overlapping unit circles are inscribed inside a large circle as shown below. Find the area of the shaded region?

enter image description here

0 votes

Seven circles, each with radius 1, overlap to form the composite figure shown below. Find the area of shaded region?

Find the area of the shaded region

...