Area of a Circle and a Sector

Question 1

Question 1

Revolt · Accepted Answer

118608

Question 2

What is the approximate length of the apothem? Round to the nearest tenth.

Revolt · Accepted Answer

B: 15.6 cm

Question 3

What is the approximate perimeter of the octagon? Round to the nearest whole number. mm What is the approximate length of one side of the octagon? Round to the nearest whole number. mm

Revolt · Accepted Answer

C: 371

Question 4

The side length of one of the pentagons measures 2 inches and the apothem measures about 1.38 inches. What is the area of one of the pentagons? State your answer to the nearest tenth. square inches The side length of one of the hexagons measures 2 inches and the apothem measures about 1.73 inches. What is the area of one of the hexagons? State your answer to the nearest tenth. square inches

Revolt · Accepted Answer

Part 1: 6.9; Part 2: 10.4

Question 5

The radius of a regular decagon, a 10-sided figure, is 15 units. The length of one side of the polygon measures about 9.3 units. What is the approximate area of the regular decagon rounded to the nearest tenth?

Revolt · Accepted Answer

C: 663.1 square units

Question 6

What is the approximate length of the apothem?

Revolt · Accepted Answer

C: 1.5 cm

Question 7

The floor of a gazebo is in the shape of a regular octagon. The perimeter of the floor is 72 feet. The distance from the center of the octagon to one of the vertices is 11.8 feet. What is the approximate length of the apothem? feet What is the approximate area of the floor of the gazebo? square feet

Revolt · Accepted Answer

C: 10.9

Question 8

Question 8

Revolt · Accepted Answer

A: 36

Question 9

A hexagon has a radius measuring 23 cm. What is the approximate area of the hexagon?

Revolt · Accepted Answer

C: 1374.4 square cm

Question 10

Calculate the area of the equilateral triangle using the formula for area of a regular polygon, and compare it to Bianca’s answer. The apothem, rounded to the nearest tenth, is units. The perimeter of the equilateral triangle is units. Therefore, the area of the equilateral triangle is , or approximately 43.5 units2. The calculated areas are .

Revolt · Accepted Answer

A: 2.9

Area of a Circle and a Sector Answers

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