Question

What is the measure of the central angle of a circle with radius 15 ft that intercepts a 10 ft arc?

Use 3.14 for T.
Round the answer to the hundredths place.
Enter your answer in the box.

Answer 1

• L=10ft
• R=15ft
• We have to find theta

`\Large{\underline{\sf Solution:-}}`

`\\ \sf\dashrightarrow L=(\Theta)/(180)* \pi r`

`\\ \sf\dashrightarrow 10=(\Theta)/(180)* 3.14* 15`

`\\ \sf\dashrightarrow 10=(\Theta)/(180)* 47.1`

`\\ \sf\dashrightarrow \Theta=(10(180))/(47.1)`

`\\ \sf\dashrightarrow \Theta=(1800)/(47.1)`

`\\ \sf\dashrightarrow \Theta=38.2°`