What is the area of a circle with a diameter of 20 and is divided into 20 congruent sectors?

area of each sector: 5π ≈ 15.7 square units area of circle: 100π ≈ 314.16 square units

Step-by-step explanation:

The formula for the area of a circle is ...

A = πr^2

where the radius (r) is half the diameter. For a circle with a diameter of 20 units, the radius is 10 units and the circle area is ...

A = π· (10 units) ^2 = 100π units^2 ≈ 314.16 square units

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When there are 20 congruent sectors, each sector has an area of 1/20 of the circle area, so

sector area = (1/20) ·100π unit^2 = 5π units^2 ≈ 15.7 square units