Area and Arcs

Front

What is the formula for the length of an arc in a circle?

Back

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

Front

How do you find the measure of a minor arc in a circle?

Back

The measure of a minor arc is equal to the measure of its central angle.

Front

What is the relationship between the radius and the arc length?

Back

The arc length is directly proportional to the radius; as the radius increases, the arc length increases.

Front

What is the formula for the area of a sector in a circle?

Back

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

Front

How do you convert arc length to degrees?

Back

To find the degree measure of an arc, use the formula: θ = (Arc Length / (2πr)) * 360.

Front

What is a sector in a circle?

Back

A sector is a region enclosed by two radii and the arc between them.

Front

What is the difference between a minor arc and a major arc?

Back

A minor arc is less than 180 degrees, while a major arc is more than 180 degrees.

Front

If the radius of a circle is doubled, how does the arc length change?

Back

The arc length also doubles if the radius is doubled, assuming the angle remains the same.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

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

Back

Use the formula: Area = (θ/360) * πr², substituting the values for θ and r.