Given,
Length of arc = 15 cm
θ = Angle subtended at the centre of circle = 45°
We know that,
Length of arc = θ/360 ∗ 2πr cm
= 45/360 ∗ 2πr cm
From the question, we can equate
15 cm = 45/360 ∗ 2π ∗ r cm
15 = πr/4
Radius = 15∗4/ π = 60/π
Therefore, the radius of the circle is 60/π cm.
