Area of Shaded Region in a Circle Inscribed in a Square

Area of Shaded Region in a Circle Inscribed in a Square

Assessment

Passage

Mathematics

7th Grade

Hard

CCSS
7.G.B.4, 6.G.A.1

Standards-aligned

Created by

Grace Detomaso

FREE Resource

6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A circle is inscribed in a square. Determine the area of the SHADED region. Use 3.14 as pi.

225 m²

193.5 m²

706.5 m²

94.20 m²

Tags

CCSS.7.G.B.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A circular railroad-crossing sign has a diameter of 30 inches. Which measurement is closest to the area of the sign in square inches?

94.2 in.²

188.4 in.²

706.5 in.²

286.6 in.²

Tags

CCSS.7.G.B.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A sundial has a circular base with a diameter of 90 feet. Which measurement is the closest to the area of the circular base of the sundial in square feet?

3,627.5 ft²

282.6 ft²

141.3 ft²

6,358.5 ft²

Tags

CCSS.7.G.B.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A circle has a radius of 4.5 centimeters. Which measurement is closest to the circumference of the circle in centimeters?

14.13 cm

28.26 cm

63.59 cm

56.52 cm

Tags

CCSS.7.G.B.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A sidewalk in the shape of two triangles, a rectangle, and a square was built around the edge of a building as shown. What is the area of the sidewalk in square feet?

108 ft²

162 ft²

144 ft²

180 ft²

Tags

CCSS.6.G.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The circumference of a circle is C inches. The diameter of the circle is 19 inches. Which expression best represents the value of π?

C/19

19/C

C/9.5

9.5/C

Tags

CCSS.7.G.B.4