Question

An arc is 6.5 cm long and it subtends a

Circles
ANSWERED
asked 2021-08-06
An arc is 6.5 cm long and it subtends a central angle of 45°. Find the radius of the circle.

Expert Answers (1)

2021-08-07

Use the arc length formula:

\(L=2πr\cdot(\theta/360°)\)

where r is the radius and \(\theta\) is the central angle.

Subtitute \(L=6.5\) cm and \(\theta=45^\circ\) then solve for r:

\(6.5=(π/4)r\)

Multiply both sides by \(4/π\):

\(6.5\cdot(4/π)=r\)

\(r \sim 8.3\ cm\)

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