Question

Circle O shown below has a radius of 23 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 85°.23 inches

Answer 1

The rule of the arc of a circle is

`L=(x)/(360)*2*\pi* r`

x is the subtended angle of the arc

r is the radius of the circle

Since the arc subtended an angle of measure 85 degrees, then

x = 85

Since the radius of the circle is 23 inches, then

r = 23

Substitute them in the rule above

`\begin{gathered} L=(85)/(360)*2*(22)/(7)*23 \\ \\ L=34.1 \end{gathered}`

The length of the arc is 34.1 inches to the nearest tenth

The answer is 34.1 inches