Question

An arc of length 15 cm subtends an angle of 45° at the centre of a circle. Find in terms of π, the radius of the circle.

Answer 1

Answer:

The radius of the circle is  60/π cm.  

Step-by-step explanation:

Given :  

angle subtended by an Arc , θ = 45°

Length of Arc, l = 15 cm

Length of Arc, l = (θ/360) × 2πr

15 = (45°/360°) ×2 ×π ×r

15 = (⅛) × 2πr

15 × 8 = 2πr

r = (15×8) /2π

r = (15 ×4)/π

r = 60/π cm

Radius of the circle = 60/π cm

Hence, the radius of the circle is  60/π cm.  

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Answer 2

Hey Buddy..

Answer :

Arc length = 15cm

Angle subtend = 45°

$\frac{45 \times \pi}{180degrees} = \frac{\pi}{4} radius \\ \\ \\ radius \: of \: a \: circle = \frac{arc \: length}{angle \: subtened \: at \: a \: center \:} \\ \\ = \frac{15 \times 4}{\pi} = \frac{60degrees}{\pi} cm$

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