Question

a circular piece of paper of radius 20cm is trimmed into a shape of biggest possible square.....
Find the area cut off

Answer 1

Step-by-step explanation:

A circular piece of paper of radius 20 cm is trimmed into the shape of the biggest possible

square. Find the area of the paper cut off

Answer 2

Given,

The radius of the circular piece of paper is equal to  20 cm which is trimmed into the shape of the biggest possible square.

To Find,

The area cut off.

Solution,

First, we will calculate the area of the circular paper

Area  = πr² = 22/7*20*20 = 1257.14 cm²

Now, the diameter of the circle will act as the diagonal of the square.

So, using Pythagoras' theorem

H² = P²+B²

40² = 2*side²

1600 = 2*side²

side = √800 = 20√2 cm

Now,

area of square = side² = (20√2)² = 800 cm²

So,

The area cut off = area of the circle - the area of square

The area cut off = 1257.14 cm²- 800 cm² = 457.14 cm²

Hence, the area cut off is 457.14 cm².