Area and circumference of circles. Game on.

Area and circumference of circles is a grade 7 math skill aligned to Common Core standard 7.G.B.4: know the formulas for the area and circumference of a circle and use them to solve problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 area and circumference of circles problems our math games drill.

CCSS 7.G.B.410 questions in the bank
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Warm-upeasy

A circle has a radius of 1515 feet. What is the area, in square feet, of the circle?

The area of a circle is A=πr2A = \pi r^{2}. Substitute r=15r = 15: A=π(15)2=225π.A = \pi(15)^{2} = 225\pi\textsf{.}

Mid-gameeasy

A circle has a radius of 77 meters. What is the area, in square meters, of the circle?

The area of a circle is A=πr2A = \pi r^{2}. Substitute r=7r = 7: A=π(7)2=49π.A = \pi(7)^{2} = 49\pi\textsf{.}

Mid-gameeasy

A circle has a diameter of 1616 inches. What is the area, in square inches, of the circle?

The radius is half the diameter: r=162=8r = \dfrac{16}{2} = 8. The area is A=πr2=π(8)2=64π.A = \pi r^{2} = \pi(8)^{2} = 64\pi\textsf{.}

Mid-gameeasy

A circle has a radius of 99 yards. What is the area, in square yards, of the circle?

The area of a circle is A=πr2A = \pi r^{2}. Substitute r=9r = 9: A=π(9)2=81π.A = \pi(9)^{2} = 81\pi\textsf{.}

Mid-gameeasy

A circle has a radius of 1111 centimeters. What is the circumference, in centimeters, of the circle?

The circumference of a circle is C=2πrC = 2\pi r. Substitute r=11r = 11: C=2π(11)=22π.C = 2\pi(11) = 22\pi\textsf{.}

Mid-gameeasy

A circle has a diameter of 2020 feet. What is the circumference, in feet, of the circle?

The circumference of a circle is C=πdC = \pi d. Substitute d=20d = 20: C=π(20)=20π.C = \pi(20) = 20\pi\textsf{.}

Mid-gameeasy

A circle has a radius of 88 inches. What is the circumference, in inches, of the circle?

The circumference of a circle is C=2πrC = 2\pi r. Substitute r=8r = 8: C=2π(8)=16π.C = 2\pi(8) = 16\pi\textsf{.}

Buzzer beatereasy

A circle has a diameter of 2626 yards. What is the circumference, in yards, of the circle?

The circumference of a circle is C=πdC = \pi d. Substitute d=26d = 26: C=π(26)=26π.C = \pi(26) = 26\pi\textsf{.}

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