Question

In circle R, RS = 12 and m/SRT = 90°. Find the length of ST. Express your
answer as a fraction times 7.
R
T
S

Answer 1

Answer:

$l(\widehat {ST})=6\pi$

Step-by-step explanation:

• Radius (r)= RS = 12 (Given)

• $Central\: angle \:(\theta) = m\angle SRT =90\degree$ (Given)

• To find: $l(\widehat {ST})$

• Formula for finding the length of arc is given as:

• $l(\widehat {ST})=\frac{\theta}{360\degree}\times 2\pi r$

• $l(\widehat {ST})=\frac{90\degree}{360\degree}\times 2\pi (12)$

• $l(\widehat {ST})=\frac{1}{4}\times 24\pi$

• $l(\widehat {ST})=6\pi$