Arc Lengths and Sectors

Front

What is the formula for the area of a sector?

Back

Area = (θ/360) * π * r², where θ is the angle in degrees and r is the radius.

Front

How do you calculate the circumference of a circle?

Back

Circumference = π * d, where d is the diameter.

Front

What is the relationship between the radius and diameter of a circle?

Back

Diameter = 2 * Radius.

Front

What is the formula for finding the length of an arc?

Back

Arc Length = (θ/360) * 2 * π * r, where θ is the angle in degrees and r is the radius.

Front

If a circle has a radius of 5 cm, what is its circumference?

Back

Circumference = π * 2 * 5 = 31.4 cm.

Front

What is the area of a sector with a radius of 4 m and an angle of 90 degrees?

Back

Area = (90/360) * π * 4² = 16π/4 = 12.57 m².

Front

How do you convert degrees to radians?

Back

Radians = Degrees * (π/180).

Front

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

Back

Circumference = π * 10 = 31.4 cm.

Front

If the angle of a sector is 180 degrees, what fraction of the circle does it represent?

Back

It represents 1/2 of the circle.

Front

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

Back

Area = π * 3² = 28.27 m².