An arc is 6.5 cm long and it subtends a central angle of 45°. Find the radius of the circle.

ka1leE

ka1leE

Answered question

2021-06-19

An arc is 6.5 cm long and it subtends a central angle of 45. Find the radius of the circle.

Answer & Explanation

AGRFTr

AGRFTr

Skilled2021-06-20Added 95 answers

Use the arc length formula: L=2πr×(θ360)

where r is the radius and θ is the central angle

Subtitute L=6.5cm and θ=45 then solve for r:

6.5=2πr×(45360)

6.5=(π4)r

Multiply both sides by 4π:

6.5×(4π)=r

r8.3cm

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