Chapter 2 Test Review

What is the area of the circle?

• 15.7 cm²

• 78.5 cm²

• 31.4 cm²

• 314 cm²

Answer explanation

The area of a circle is calculated using the formula A = πr². If the radius is 5 cm, then A = π(5)² = 25π ≈ 78.5 cm². Therefore, the correct answer is 78.5 cm².

Tags

CCSS.7.G.B.4

The radius of the ferris wheel at the York Fair is 15 feet. How far will the wheel travel if it makes one complete rotation?

• 94.2 feet

• 47.1 feet

• 706.5 feet

• 153.9 feet

Answer explanation

To find the distance the ferris wheel travels in one complete rotation, use the formula for the circumference: C = 2πr. Here, r = 15 feet. Thus, C = 2 × π × 15 ≈ 94.2 feet, which is the correct answer.

Tags

CCSS.7.G.B.4

Mike built a circular patio in his back yard with a diameter of 14 feet. He wants to add a red brick border around the outside for decoration. If each red brick has a width of 1 foot, how many red bricks should he buy?

• 154 bricks

• 88 bricks

• 77 bricks

• 44 bricks

Answer explanation

The circumference of the patio is calculated using the formula C = πd. With a diameter of 14 feet, C ≈ 44 feet. Since each brick is 1 foot wide, Mike needs 44 bricks to cover the border, making 44 the correct answer.

Tags

CCSS.7.G.B.4

• 99.96 cm²

• 132.93 cm²

• 209.86 cm²

• 37.98 cm²

Tags

CCSS.HSG.GMD.A.1

What is the area of a semicircle with a diameter of 10 inches?

• 39.25 in²

• 157 in²

• 78.5 in²

• 15.7 in²

Answer explanation

The area of a semicircle is calculated using the formula A = (πr²)/2. With a diameter of 10 inches, the radius r is 5 inches. Thus, A = (π(5)²)/2 = (25π)/2 ≈ 39.25 in², making the correct answer 39.25 in².

Tags

CCSS.7.G.B.4

Find the area.

• 242 in²

• 259 in²

• 116 in²

• 220 in²

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.MG.A.1

A square is drawn around a circle with a diameter of 25 in. If the square is as wide as the circle, how much space is not filled up by the circle?

• 490.625 in²

• 134.375 in²

• 546.5 in²

• 28.5 in²

Answer explanation

The area of the square is (25 in)² = 625 in². The area of the circle is π(12.5 in)² ≈ 490.625 in². The unfilled space is 625 in² - 490.625 in² = 134.375 in², which is the correct answer.

Tags

CCSS.7.G.B.4

A graphic designer created a new logo for a company that will be printed on a large sign. The logo is a trapezoid that has a semicircular piece removed. What is the approximate area of the shaded part of the logo?

• 45 cm²

• 16.74 cm²

• 35.58 cm²

• 30.87 cm²

Answer explanation

To find the area of the shaded part, calculate the area of the trapezoid and subtract the area of the semicircle. The correct calculation yields approximately 30.87 cm², making it the right choice.

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.MG.A.1

Charles is building a toy box that is 7 feet long, 2.5 feet wide, and 3.25 feet high. How many square feet of wood does Charles need to build the box?

• 56.875 square feet

• 101.5 square feet

• 96.75 square feet

• 113.75 square feet

Answer explanation

To find the surface area of the toy box, calculate the area of all six sides: 2*(7*2.5 + 7*3.25 + 2.5*3.25) = 96.75 square feet. Thus, Charles needs 96.75 square feet of wood.

Tags

CCSS.6.G.A.4

Determine the surface area of the prism.

• 864 ft²

• 684 ft²

• 630 ft²

• 792 ft²

Answer explanation

To find the surface area of the prism, calculate the area of the bases and the lateral surface area. The correct total surface area is 684 ft², which includes all sides and bases.

Tags

CCSS.7.G.B.6