Area of Circles and Semi-Circles

Imagine Khiana and Joshua are in a park with a circular pond. The definition of diameter in this context is

• distance from the center of the pond to any point on its edge

• distance across the pond through the center

• distance from one edge of the pond to another without passing through the center

• distance around the pond's edge

Tags

CCSS.HSG.C.A.2

Imagine Nakeem is painting a circular sign for a pizza shop. The definition of radius in this context is

• distance from one corner of the sign to another

• distance around the edge of the sign

• distance from the center of the sign to any point on the edge

• distance across the sign through the center

Tags

CCSS.HSG.C.A.2

John and Khiana are collaborating on building a circular garden and need to calculate the length of the fence to encircle it. If the radius of the garden is known, what is the formula to find the diameter of the garden?

• r = 2 d

• d = 2 r

• a = m c²

• c = π 2 r

Tags

CCSS.7.G.B.4

John and Kevin are designing a circular garden and need to calculate the radius. Which formula should they use?

• c = π d

• c = 2 π r

• d = r/2

• r = d/2

Tags

CCSS.7.G.B.4

Kevin and Dana are collaborating on painting a circular tabletop for their art project and want to know how much area they need to cover. What is the formula they should use to find the area of the tabletop?

• C = π r²

• A = π r²

• A = π r² / 2

• C = 2 π r

Tags

CCSS.7.G.B.4

John and Kacia want to paint a semi-circular garden wall. What is the formula to find the area they need to cover with paint?

• A = π r²

• C = π r²

• A = π r² / 2

• A = 2 π r

Tags

CCSS.7.G.B.4

Anton and Kevin are calculating the area of a circular garden that has a radius of 7 meters. Find the area of the garden.

• 43.96

• 153.86

• 87.82

• 307.72

Tags

CCSS.7.G.B.4

Rowan and Kevin are studying the properties of circles in their math class. They come across a circular garden with a radius of 3 cm. Calculate the area of the garden.

• 100 cm²

• 225 cm²

• 9 cm²

• 28.26 cm²

Tags

CCSS.7.G.B.4

Kacia and Jayden placed the welcome mat shown below on their front door step. What is the area of their welcome mat in square feet? Leave in terms of π.

• A = 2π

• A = 8π

• A = 10π

• A = 4π

Tags

CCSS.7.G.B.4

Khiana and Jayden are studying the area of circular shapes in their math class. They come across a circular park with a radius of 3 meters. They are curious to find the area of the park. Can you help them calculate it?

• 8π

• 9π

• 71π

• 81π

Tags

CCSS.7.G.B.4