Question

this question has two parts.
circles
a circle has a radius of 6 meters, as shown.
52 part a which of the following is closest to circle? (use 3.14 for $\pi$.)
(a)
a 18.8
b 37.7
c 59.2
d 113.0
(b) part b what is the area, in square meters, of th
a $6\pi$
b $12\pi$
c $36\pi$
d $144\pi$

Explanation:

Part A

Step1: Recall circumference formula

The formula for the circumference of a circle is \( C = 2\pi r \), where \( r \) is the radius. Here, \( r = 6 \) meters and \( \pi \approx 3.14 \).

Step2: Substitute values and calculate

Substitute \( r = 6 \) and \( \pi = 3.14 \) into the formula: \( C = 2\times3.14\times6 \). First, calculate \( 2\times3.14 = 6.28 \), then \( 6.28\times6 = 37.68 \). Rounding 37.68 gives approximately 37.7.

Step1: Recall area formula

The formula for the area of a circle is \( A=\pi r^{2} \), where \( r \) is the radius. Here, \( r = 6 \) meters.

Step2: Substitute values and calculate

Substitute \( r = 6 \) into the formula: \( A=\pi\times6^{2}=\pi\times36 = 36\pi \).

Answer:

B. 37.7

Part B