An arc AB of length of 5 cm is marked on a circle of radius 3 cm. The area of sector bounded by this arc and radii from A and B is:

7.5 cm².

Step-by-step explanation:

A Circle is the locus of points on a plane such that the distance from a central point known as the center is equal.

The length of an arc that subtends from the center of a circle with an angle θ is:

length = (θ / 360) * 2πr.  where r is the radius of the circle.

Given that the radius r = 3 cm and the length = 5 cm. Hence:

5 =  (θ / 360) * 2π(3)

θ = 5 * 360 / 6π

θ = 95.5°

The area of the sector = (θ / 360) * πr² = (95.5/360) * π(3²) = 7.5 cm²

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step-by-step explanation: