Area of Triangles, Trapezoids, and Circumference of Circles

An observatory is shaped like a cylinder standing on one of its bases with a dome on top. The diameter of the floor of the observatory is 64 feet, as shown in the diagram.

Which measurement is closest to the circumference of the base of the observatory in feet?

• 200.96 ft

• 3,125.36 ft

• 100.48 ft

• 401.92 ft

Tags

CCSS.7.G.B.4

A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet. Which expression best represents the value of π?

• 
• 
• 
• 

Tags

CCSS.7.G.B.4

A circular tablecloth has a radius of 2.5 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. If Kyle has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in feet?

• 7.85 ft

• 15.7 ft

• 19.63 ft

• 31.4 ft

Tags

CCSS.7.G.B.4

A group of students stood in a circle to play a game. The circle had a diameter of 22 meters. Which measurement is closest to the circumference of the circle in meters?

• 34.54 m

• 1,519.76 m

• 379.94 m

• 69.08 m

Tags

CCSS.7.G.B.4

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

Jennifer painted a tabletop that is shaped like a circle. The circumference of the tabletop is 6π feet. Which is closest to the area of the tabletop in square feet?

• 18.84 ft²

• 28.26 ft²

• 37.68 ft²

• 113.04 ft²

Tags

CCSS.7.G.B.4

What is the area of the top surface of the desk in square feet?

• 9.75 ft²

• 8.625 ft²

• 7.50 ft²

• 9.375 ft²

Landon used a semicircle, a rectangle, and a right triangle to form the figure shown.

Which is the best estimate of the area of the figure in square centimeter?

• 52 cm²

• 44 cm²

• 26 cm²

• 38 cm²

An advertising banner has four sections, as modeled below. Two sections are congruent trapezoids, and two sections are congruent right triangles.

Which measurement is the best estimate of the area of the banner in square meters?

• 6 m²

• 15 m²

• 8 m²

• 10 m²

area of triangles

(a)  

Tags

CCSS.6.G.A.1