Mang Jose cut a circular board with a diameter 80 cm. Then, he divided the board into 20 congruent sectors. What is the are of each sector?

Sagot :

In the given problem, apply your knowledge in algebraic expression and basic mathematics especially in solving word problem about area of a circle.

Given

Circular board with a diameter 80 cm

Divided the board into 20 congruent sectors.

Problem

What is the area of each sector?

Solution

Use the formula for solving area of a circle A = πr².

r = 1/2d

r = 1/2(80)

r = 40 cm

A = π(40)²

A = 1 600π cm²

Solve for the area of each sector

A ÷ 20

1 600π cm² ÷ 20 = 80π cm²

When π = 3.14

80π = 251.33 cm²

Answer

80π cm² or 251.33 cm²

Learn more about solving area of a circle here at

https://brainly.ph/question/4051449

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