Answer:
7.5 cm².
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