Circumference and Area Word Problems

Front

What is the formula for the area of a circle?

Back

Area = π × r², where r is the radius of the circle.

Front

How do you find the radius if you know the diameter?

Back

Radius = Diameter ÷ 2.

Front

What is the value of π (pi) commonly approximated as?

Back

π is commonly approximated as 3.14.

Front

If a circle has a diameter of 27 yards, what is its radius?

Back

Radius = 27 yards ÷ 2 = 13.5 yards.

Front

What is the area of a circle with a radius of 13.5 yards?

Back

Area = π × (13.5)² = 3.14 × 182.25 ≈ 572 sq. yd.

Front

What is the circumference of a circle?

Back

Circumference = π × Diameter.

Front

How do you calculate the distance traveled by the tip of a clock's minute hand?

Back

Distance = Circumference of the circle traced by the minute hand.

Front

What is the circumference of a circle with a diameter of 6.5 cm?

Back

Circumference = π × 6.5 cm ≈ 20.4 cm.

Front

If a bicycle wheel has a diameter of 67 cm, what is its circumference?

Back

Circumference = π × 67 cm ≈ 210.38 cm.

Front

How far does a bicycle travel if its wheel goes around 14 times with a diameter of 67 cm?

Back

Distance = Circumference × Number of rotations = 210.38 cm × 14 ≈ 2,945.32 cm.