Week 13 Test

Front

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

Back

The area of a sector is given by the formula: A = (θ/360) * πr², where θ is the angle in degrees and r is the radius.

Front

How do you calculate the length of an arc in a circle?

Back

The length of an arc is calculated using the formula: L = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius.

Front

What is the relationship between the radius and the area of a sector?

Back

The area of a sector increases with the square of the radius; doubling the radius increases the area by a factor of four.

Front

What is the measure of a full circle in degrees?

Back

A full circle measures 360 degrees.

Front

How do you convert radians to degrees?

Back

To convert radians to degrees, multiply the radian measure by (180/π).

Front

What is the formula for finding the central angle of a sector given the area?

Back

The central angle can be found using the formula: θ = (Area * 360) / (πr²).

Front

What is the significance of the bold arc in a circle?

Back

The bold arc typically indicates a specific segment of the circle that is being referenced for calculations, such as length or area.

Front

How do you find the missing angle in a triangle formed by two radii and an arc?

Back

Use the property that the sum of angles in a triangle is 180 degrees, along with the known angles.

Front

What is the formula for the circumference of a circle?

Back

The circumference of a circle is given by the formula: C = 2πr, where r is the radius.

Front

What is the relationship between arc length and the radius of a circle?

Back

Arc length is directly proportional to the radius; as the radius increases, the arc length increases for the same central angle.