Area of Circles & Sectors (shortened, round 2DP)

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius of the circle.

Front

What is the value of π (pi) rounded to two decimal places?

Back

π ≈ 3.14.

Front

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

Back

Area of sector = (θ/360) × πr², where θ is the central angle in degrees.

Front

If the radius of a circle is 5 meters, what is its area?

Back

Area = π(5)² = 78.54 m² (rounded to two decimal places).

Front

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

Back

Area = π(10)² = 314.16 cm² (rounded to two decimal places).

Front

What is the area of a sector with a radius of 4 inches and a central angle of 90°?

Back

Area of sector = (90/360) × π(4)² = 16π/4 = 12.57 in² (rounded to two decimal places).

Front

What is the area of a circle with a diameter of 8 meters?

Back

Radius = 4 meters; Area = π(4)² = 50.27 m² (rounded to two decimal places).

Front

How do you find the radius if the area of a circle is known?

Back

Radius = √(Area/π).

Front

What is the area of a sector with a radius of 3 cm and a central angle of 60°?

Back

Area of sector = (60/360) × π(3)² = 4.71 cm² (rounded to two decimal places).

Front

If a circle has an area of 154 m², what is its radius?

Back

Radius = √(154/π) ≈ 7 m (rounded to the nearest whole number).