Answer :
Central angle intercepted by arc is 0.7 radian
What is length of arc intercepted by central angle ?
The length l of the arc intercepted on a circle of radius r by a central angle of measure θ radians is given by: l = r θ where θ is in radians.
In a circle of radius 1, the measure of a central angle in radians will be equal to the length of the intercepted arc.
Arc length is l=r⋅θ; l=9, r=13, θ=?;
l. r, θ are arc length , radius of circle and central angle intercepted by arc .
∴9 = 13⋅θ
∴θ = 9/13 ≈ 0.7(1dp) radian
Central angle intercepted by arc is 0.7(1dp) radian
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