Grade 7 | Unit 3 | Lesson 7: Exploring the Area of a Circle | Practice Problems

• First graph: Area

• Second graph: Radius

• Third graph: Circumference

• First graph: Circumference

• Second graph: Circumference

Tags

CCSS.7.G.B.4

Circle A has area 500 in². The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B.

• 500 in²

• 1,500 in²

• 4,500 in²

• 5000 in²

• 6,000 in²

Lin’s bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels?

Tags

CCSS.HSG.GPE.A.1

Priya drew a circle whose circumference is 25 cm. Clare drew a circle whose diameter is 3 times the diameter of Priya’s circle. What is the circumference of Clare’s circle?

Tags

CCSS.7.G.B.4

Here is a picture of two squares and a circle. Use the picture to explain why the area of this circle is more than 2 square units but less than 4 square units. Description: Two squares and circle on a grid of 4 units by 4 units. In the center of the grid is a square that measures two units high by two units wide. Within the square is a circle, with a diameter of 2 units. Within the circle is another square, rotated so that the each of the four vertices of the square meet with a point of the circle and the midpoint of the larger square.

Here is another picture of two squares and a circle. Use the picture to explain why the area of this circle is more than 18 square units and less than 36 square units. Description: A square with a circle inside of it and a square inside of the circle. The shapes are drawn on a grid. The outer square has side lengths = 6 units. The Circle has diameter = 6 units. The inner square is turned such that its four corners correspond with the midpoints of each side of the outer square.

Tags

CCSS.7.G.B.4