Question

quiz 1
6 of 6
part a
find the area of circle a.
sq cm
part b
find the circumference of circle a.
cm

Explanation:

Part A:

Step 1: Recall the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(r\) is the radius of the circle.

Step 2: Substitute the given radius into the formula

Given \(r = 3.2\) cm. Using \(\pi\approx3.14\), we have \(A=3.14\times(3.2)^{2}\).
First, calculate \((3.2)^{2}=3.2\times3.2 = 10.24\).
Then, \(A=3.14\times10.24=32.1536\) \(cm^{2}\).

Part B:

Step 1: Recall the formula for the circumference of a circle

The formula for the circumference of a circle is \(C = 2\pi r\) (or \(C=\pi d\), where \(d = 2r\) is the diameter).

Step 2: Substitute the given radius into the formula

Given \(r=3.2\) cm and \(\pi\approx3.14\).
\(C = 2\times3.14\times3.2\).
First, \(2\times3.14 = 6.28\).
Then, \(C=6.28\times3.2=20.096\) \(cm\).

Answer:

Part A: \(32.1536\) \(sq\) \(cm\)
Part B: \(20.096\) \(cm\)