What does the symbol $$\pi$$ represent in mathematics?

The symbol $$\pi$$ represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.

What is the approximate value of $$\pi$$ ?

The approximate value of $$\pi$$ is 3.14.

If the radius of a circle is 5 inches, what is the circumference?

The circumference is $$C = 2\pi(5) = 10\pi \approx 31.42 inches$$ .

What is the area of a circle with a radius of 7 cm?

The area is $$A = \pi(7)^2 = 49\pi \approx 153.86 cm^2$$ .

What is the diameter of a circle with a radius of 12 feet?

The diameter is 24 feet, since $$d = 2r = 2(12)$$ .

What is the radius of a circle if its area is 78.5 square meters?

The radius is 5 meters, since $$A = \pi r^2 \Rightarrow r = \sqrt{\frac{A}{\pi}} = \sqrt{\frac{78.5}{3.14}} \approx 5$$ .

What is the area of a circle with a diameter of 20 cm?

The area is $$A = \pi(10)^2 = 100\pi \approx 314.16 cm^2$$ .

If the radius of a circle is doubled, how does the area change?

If the radius is doubled, the area increases by a factor of four, since $$A = \pi (2r)^2 = 4\pi r^2$$ .

What is the circumference of a circle with a diameter of 8 inches?

The circumference is $$C = \pi(8) \approx 25.12 inches$$ .

What is the area of a circle with a radius of 3 meters?

The area is $$A = \pi(3)^2 = 9\pi \approx 28.27 m^2$$ .

...

Area of a circle

Flashcard

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Mathematics

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6th Grade

•

Practice Problem

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Hard

•

CCSS

7.G.B.4, HSG.GMD.A.1

Standards-aligned

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FLASHCARD QUESTION

Front

What is the formula to find the area of a circle?

Back

Tags

CCSS.7.G.B.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.GMD.A.1

FLASHCARD QUESTION

Front

If the radius of a circle is 10 cm, what is the area?

Back

Tags

CCSS.7.G.B.4

FLASHCARD QUESTION

Front

What is the relationship between diameter and radius?

Back

Tags

CCSS.7.G.B.4

FLASHCARD QUESTION

Front

If the diameter of a circle is 30 meters, what is the radius?

Back

Tags

CCSS.7.G.B.4

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSG.GMD.A.1

FLASHCARD QUESTION

Front

How do you calculate the circumference of a circle?

Back

Tags

CCSS.7.G.B.4

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