Question

Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for x and round to the nearest
hundredth)
Oa
Ob
oc
od
113.04in?
254.35in?
508.68in?
1017.36in?​

Answer 1

Answer: 254.35ins

Step-by-step explanation:

Circumference of a circle = 2πr or πd.

Given the area of the circle = 56.52ins. To find the area of the circle, we first need to find the radius of the circle first by making r the subject of the formula.

2πr = 56. 52

r = 56.52

----------

2π

where π = 3.14

Now put this in r above and solve

r = 56.52/2 x 3.14

= 56.52/6.28

= 9ins.

Now to find the area of the circle substitute for r in the equation of the area of the circle below

Area of circle = πr²

= 3.14 x 9²

= 3.14 x 81

= 254.35ins