The area of a circle is 98.56 cm^2. Find it's circumference?
- 37.2 cm
- 39.2 cm
- 35.2 cm
- None of these
Explanation
The area of a circle is given by the formula:
A = πr^2
where A is the area and r is the radius.
Given the area is 98.56 cm^2, we can set up the equation:
98.56 = πr^2
Now, divide both sides by π (approximately 3.14):
r^2 = 98.56 / 3.14
r^2 = 31.36
r = √31.36
r ≈ 5.6
Now that we have the radius, we can find the circumference using the formula:
C = 2πr
C ≈ 2 × 3.14 × 5.6
C ≈ 35.2
So, the circumference is approximately 35.2 cm.
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