Area of Circles & Sectors

Front

What is the formula for the area of a circle?

Back

The area of a circle is given by the formula A = πr², where r is the radius.

Tags

CCSS.7.G.B.4

Front

What is the value of π (pi)?

Back

π (pi) is approximately 3.14, but it is an irrational number that continues infinitely.

Tags

CCSS.HSG.GMD.A.1

Front

How do you calculate the area of a sector of a circle?

Back

The area of a sector is given by the formula A = (θ/360) × πr², where θ is the angle in degrees and r is the radius.

Tags

CCSS.HSG.C.B.5

Front

If the radius of a circle is 4 cm, what is its area in terms of π?

Back

The area is 16π cm².

Tags

CCSS.7.G.B.4

Front

What is the area of a circle with a radius of 5 m?

Back

The area is 25π m².

Tags

CCSS.7.G.B.4

Front

How do you convert the area of a circle from square units to terms of π?

Back

To express the area in terms of π, divide the area by π.

Tags

CCSS.7.G.B.4

Front

What is the area of a circle with a diameter of 10 cm?

Back

The area is 25π cm².

Tags

CCSS.7.G.B.4

Front

If a sector has a central angle of 90°, what fraction of the circle does it represent?

Back

It represents 1/4 of the circle.

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Front

What is the area of a sector with a radius of 6 cm and a central angle of 60°?

Back

The area is 12π cm².

Tags

CCSS.HSG.C.B.5

Front

How do you find the radius if the area of a circle is given as 36π?

Back

The radius is 6 cm, since A = πr² implies r = √(36) = 6.

Tags

CCSS.7.G.B.4