Area of a Circle and a Sector

Question 1

What is the area of the shaded sector?

Revolt · Accepted Answer

72π

Question 2

An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. The yard has 3 sprinkler heads that each cover a circular area with no overlap. What is the approximate total area that will be watered?

Revolt · Accepted Answer

5890.5 ft²

Question 3

Which statements are true? Check all that apply.The ratio of the measure of the central angle to the measure of the entire circle is [image 1] .The ratio of the measure of the central angle to the measure of the entire circle is [image 2] .The area of the sector is 250 units².The area of the sector is 100 units².The area of the sector is more than half of the circle’s area.

Revolt · Accepted Answer

The ratio of the measure of the central angle to the measure of the entire circle is .; The area of the sector is 250 units².; The area of the sector is more than half of the circle’s area.

Question 4

The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.

Revolt · Accepted Answer

✔ 1/2; The ratio of the measure of the central angle to the entire circle measure is .: 1/2; The area of the entire circle is π units2.: 36; The area of the sector is π units2.: 18

Question 5

612✔ 36

Revolt · Accepted Answer

✔ 36

Question 6

6✔ 1836

Revolt · Accepted Answer

✔ 18

Question 7

The measure of central angle MNL is π radians, and the measure of the entire circle is 2π radians.

Revolt · Accepted Answer

The ratio of the measure of the central angle to the entire circle measure is .: 1/2; The area of the entire circle is π units2.: 36; The area of the sector is π units2.: 18

Area of a Circle and a Sector Answers

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