Question

Circle O shown below has a radius of 21 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 1.7 radians.O21 inches0=1.7 radX4

Answer 1

Given: The radius of the circle is r=21 inches.

angle subtended by the arc= 1.7 radians.

To find: Length of the arc.

Explanation: The length of the arc subtended by an angle is given by the formula:

`Arc=\theta* r`

where theeta is the angle in radians.

Substitute theta = 1.7 and r=21 inches to get:

`\begin{gathered} Arc=\text{ 21}*1.7 \\ =35.7 \end{gathered}`

The length of the arc is 35.7 inches

Final Answer: The length of the arc is 35.7 inches