Arc Length and Sector Area

Front

What is the formula for the area of a circle?

Back

A = πr², where A is the area and r is the radius.

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

What is the formula for arc length?

Back

Arc length = (θ/360) × 2πr, where θ is the central angle in degrees.

Front

If a pizza has a diameter of 14 inches, what is its radius?

Back

Radius = diameter/2 = 14/2 = 7 inches.

Front

How many degrees are in a full circle?

Back

There are 360 degrees in a full circle.

Front

What is the area of a sector with a central angle of 90° and a radius of 10 inches?

Back

Area = (90/360) × π(10)² = 25π ≈ 78.54 in².

Front

What is the area of a sector with a central angle of 180° and a radius of 5 inches?

Back

Area = (180/360) × π(5)² = 12.5π ≈ 39.27 in².

Front

If a circle has a radius of 4 inches, what is the area of the circle?

Back

A = π(4)² = 16π ≈ 50.27 in².

Front

What is the arc length of a circle with a radius of 6 inches and a central angle of 60°?

Back

Arc length = (60/360) × 2π(6) = 2π ≈ 6.28 inches.

Front

How do you find the area of each slice of a pizza?

Back

Divide the total area of the pizza by the number of slices.