Arc Length and Sector Area

Front

What is the formula for arc length in a circle?

Back

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

Front

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

Back

Area of Sector = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

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

Back

The radius is half of the diameter. r = d/2.

Front

If a circle has a radius of 10 inches, what is its circumference?

Back

Circumference = 2πr = 2π(10) = 20π inches.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

How many degrees are in a right angle?

Back

A right angle measures 90 degrees.

Front

What is the formula to find the radius if the area of a sector is known?

Back

Radius can be found using r = √(Area * (360/πθ)).

Front

If a unicycle wheel has a diameter of 18 inches, what is its radius?

Back

Radius = Diameter/2 = 18/2 = 9 inches.

Front

How do you convert feet to inches?

Back

Multiply the number of feet by 12 (1 foot = 12 inches).

Front

What is the formula for the area of a circle?

Back

Area = πr², where r is the radius.