Question

The perimeter of a quarter circle is 3.57 cm. What is the quarter circles area?

Answer 1

To find the area of a quarter circle, use the formula A = πr², where r is the radius of the quarter circle. The radius can be calculated using the formula for the circumference of a circle, C = 2πr. Substitute the value of the perimeter into the formula to find the radius, and then calculate the area using the formula for the area of a circle.

Step-by-step explanation:

To find the area of a quarter circle, we need to use the formula for the area of a circle, which is A = πr², where π is a constant approximately equal to 3.14 and r is the radius of the circle.

Given that the perimeter of the quarter circle is 3.57 cm, we can find the radius using the formula for the circumference of a circle, which is C = 2πr. Rearranging the formula, we have r = C/(2π).

Substituting the value of the perimeter, we get r = 3.57/(2*3.14) = 0.569 cm. Now we can calculate the area of the quarter circle using the formula A = πr². Plugging in the value of the radius, we have A = 3.14 * (0.569)^2 = 1.006 cm².

Answer 2

A≈1.01cm²
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