Circle Review

Front

What is the formula for the area of a sector?

Back

The area of a sector is given by the formula: \( \text{Area} = \frac{\theta}{360} \times \pi r^2 \), where \( \theta \) is the angle in degrees and \( r \) is the radius.

Front

What is a major arc in a circle?

Back

A major arc is a portion of a circle that measures greater than 180 degrees.

Front

What is the equation of a circle with center (h, k) and radius r?

Back

The equation of a circle is given by: \( (x - h)^2 + (y - k)^2 = r^2 \).

Front

How do you find the circumference of a circle?

Back

The circumference of a circle is calculated using the formula: \( C = 2\pi r \), where \( r \) is the radius.

Front

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

Back

The diameter of a circle is twice the length of the radius: \( d = 2r \).

Front

What is the measure of a right angle?

Back

A right angle measures 90 degrees.

Front

What is the measure of a straight angle?

Back

A straight angle measures 180 degrees.

Front

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

Back

The area of a circle is given by: \( A = \pi r^2 = \pi (3)^2 = 9\pi \ cm^2 \).

Front

What is the measure of angle ABC if it is a right angle?

Back

Angle ABC measures 90 degrees.

Front

What is the formula for the length of an arc?

Back

The length of an arc is given by: \( L = \frac{\theta}{360} \times 2\pi r \), where \( \theta \) is the angle in degrees and \( r \) is the radius.