Area of Sector, Length of Arc, & Chord Review

Front

What is the formula for the area of a sector?

Back

Area = (θ/360) × πr², where θ is the central angle in degrees and r is the radius.

Front

How do you calculate the length of an arc?

Back

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

Front

Define a chord in a circle.

Back

A chord is a line segment with both endpoints on the circle.

Front

What is the diameter of a circle?

Back

The diameter is a chord that passes through the center of the circle, equal to twice the radius.

Front

What is the relationship between the radius and the diameter?

Back

The diameter is twice the length of the radius (d = 2r).

Front

How do you find the area of a shaded sector given the radius and central angle?

Back

Use the formula: Area = (θ/360) × πr².

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

If the radius of a circle is 10 inches, what is the area of the entire circle?

Back

Area = πr² = π(10)² = 100π ≈ 314.16 in².

Front

What is the formula to find the central angle from the length of an arc?

Back

θ = (Length of Arc / (2πr)) × 360.

Front

How do you express the area of a sector in square inches?

Back

Area is expressed in square inches (in²) based on the radius and central angle.