Question

A circle circumscribes a rectangle with side 16 cm
and 12 cm. What is the area of the circle

Answer 1

Step-by-step explanation:

REF image

The diagonal of the rectangle is a diameter of the circle.

Now, by Pythagoras theorem

(2r)

2

=16

2

+12

2

=256+144

=400

=20

2

∴r=10 cm

Area=πr

2

=π×10×10 cm

2

=100π cm

2