Question

find the circumference and area of this figure. c = 12.56 units a =? units² use π = 3.14 round your answer to the nearest hundredth

Explanation:

Step1: Find the radius

The formula for the circumference of a circle is \(C = 2\pi r\). Given \(C=12.56\) and \(\pi = 3.14\), we can solve for \(r\).

$$12.56=2\times3.14\times r$$

$$12.56 = 6.28r$$

$$r=\frac{12.56}{6.28}=2$$

Step2: Calculate the area

The formula for the area of a circle is \(A=\pi r^{2}\). Substitute \(r = 2\) and \(\pi=3.14\) into the formula.

$$A=3.14\times2^{2}$$

$$A=3.14\times4$$

$$A = 12.56$$

Answer:

\(12.56\)