Question

1 formula 0.5 points what is the radius of a circle that has a diameter of 24.7 ft? answer with a numeric value only. do not include \ft\ with your response. answer 2 formula 0.5 points what is the circumference of a circle with a radius of 20.2 cm? use 3.14 for pi. round your answer to the nearest tenth of a cm, but do not include \cm\ with your response. answer

Explanation:

Sub - Question 1

Step1: Recall the relationship between radius and diameter

The radius \( r \) of a circle is half of its diameter \( d \), so the formula is \( r=\frac{d}{2} \).

Step2: Substitute the given diameter value

Given \( d = 24.7 \), then \( r=\frac{24.7}{2}=12.35 \).

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \), where \( \pi\approx3.14 \) and \( r \) is the radius.

Step2: Substitute the values of \( \pi \) and \( r \)

Given \( r = 20.2 \) and \( \pi = 3.14 \), then \( C=2\times3.14\times20.2 \). First, calculate \( 2\times3.14 = 6.28 \), then \( 6.28\times20.2=6.28\times(20 + 0.2)=6.28\times20+6.28\times0.2 = 125.6+1.256 = 126.856 \).

Step3: Round to the nearest tenth

Rounding \( 126.856 \) to the nearest tenth gives \( 126.9 \).

Answer:

12.35

Sub - Question 2