Question

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

Answer 1

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

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

$\\ \sf\dashrightarrow L=\dfrac{\Theta}{180}\times \pi r$

$\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 3.14\times 15$

$\\ \sf\dashrightarrow 10=\dfrac{\Theta}{180}\times 47.1$

$\\ \sf\dashrightarrow \Theta=\dfrac{10(180)}{47.1}$

$\\ \sf\dashrightarrow \Theta=\dfrac{1800}{47.1}$

$\\ \sf\dashrightarrow \Theta=38.2°$