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givi [52]
3 years ago
10

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

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
5 0

Answer:

  • 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

__

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

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