Question

The area of a circle whose circumference is

52.8 cm, is

(A) 221.76 cm2

(B) 224.75 cm2

(C) 220.76 cm2

(D) none of these​

Answer 1

(A) 221.76 cm2  is the answer

Explanation:

Circumference of the circle = 52.8 cm

52.8 = 2πr

52.8 = 2*(22/7)*r

r = 26.4 * 7/22

r = 8.4 cm

Area of circle= π$r^{2}$

= (22/7)*$8.4^{2}$

= 221.76 $cm^2$

Answer 2

Answer:

let r cm is the radius of the circle

so circumference of the circle is 2πr=52.8

=> r=52.8/2π

=26.4/π=26.4×7/22=1.2×7=8.4

radius if the circle is 8.4 cm

area of the circle is π r^2 sq cm

=22×8.4×8.4/7 sq cm

=22×1.2×8.4 sq cm

=221.76 sq cm