Question

The area of the circle that can be inscribed in a square of side 10 cm is

विकल्प

• 40 π cm²

• 30 π cm²

•  100 π cm²

• 25 π cm²

Answer 1

We know that ABCD is a square of length 10 cm. A circle is inscribed in the square therefore, all the sides of the square are become tangents of the circle.

By, the tangent property, we have

`AP=PD=5`

`AQ=QB=5`

`BR=RC=5`

`CS+DS=5`

If we join PR then it will be the diameter of the circle of 10 cm.

Therefore, radius of the circle = 5cm 

∴ Area of the circle=`pir^2`

∴ Area of the circle=`pixx5^2`

∴ Area of the circle=`25pi`

Therefore, area of the circle is `25picm^2`