Question

In each circle below a 50 degree angle with a vertex at the center of the circle is drawn how are minor arc lengths CD and EF related

Answer 1

C: The arc lengths are proportional: C D = 4 E F.

Explanation:

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Answer 2

The 3rd option is correct.

The two arcs are proportional: CD = 4EF

Explanation:

The complete question together with the diagram for the question is presented in the attached image to this solution.

The length of an arc that subtends an angle of θ degrees at the centre of the circle is given as

L = (θ/360) × 2πr

For both arcs, angle subtended at the centre of the circle is 50°

For the small circle, radius, r = 2 cm

For the big circle, radius, R = 8 cm

CD = (50/360) × 2π × 8

EF = (50/360) × 2π × 2

This shows that the two arcs are proportional and CD = 4 EF.

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