The circumference of a circle is 88cm, find its area?
- A616 sq cm
- B308 sq cm
- C154 sq cm
- D77 sq cm
Solution & Step-by-step Explanation
Let the radius of the circle be r.
The formula for circumference is 2πr:
2πr=88
2×
7
22
×r=88
7
44
×r=88
r=88×
44
7
=2×7=14cm
Now, find the area of the circle using the formula πr
2
:
Area=πr
2
=
7
22
×14×14
Area=22×2×14=44×14=616sq cm
The formula for circumference is 2πr:
2πr=88
2×
7
22
×r=88
7
44
×r=88
r=88×
44
7
=2×7=14cm
Now, find the area of the circle using the formula πr
2
:
Area=πr
2
=
7
22
×14×14
Area=22×2×14=44×14=616sq cm