Arc Length and Area of Sectors Quiz

What is a sector in a circle?

• A region defined by two radii and an arc

• A line segment from the center to the circumference

• A full circle

• A triangle inside the circle

How do you calculate the arc length of a sector?

• Multiply the angle by the radius

• Subtract the angle from the circumference

• Divide the angle by 360 and multiply by the circumference

• Add the angle to the radius

What is the formula for the circumference of a circle?

• πd

• πr²

• 2πr

• r²

How is the area of a sector calculated?

• Using the formula πr² times the angle divided by 360

• Using the formula 2πr times the angle divided by 360

• Using the formula πd times the angle divided by 360

• Using the formula r² times the angle divided by 360

What is the area of a semicircle with radius r?

• πr²/2

• πr²

• 2πr

• πr

In a 30-60-90 triangle, what is the relationship between the short leg and the hypotenuse?

• The short leg is equal to the hypotenuse

• The short leg is half the hypotenuse

• The short leg is twice the hypotenuse

• The short leg is the same as the longer leg

What is the area of a triangle with legs of length 6 and 6√3?

• 18√3

• 18

• 36

• 36√3

How do you find the area of a region outside a circle but inside a quadrilateral?

• Divide the area of the quadrilateral by the area of the circle

• Multiply the area of the circle by the area of the quadrilateral

• Subtract the area of the circle from the area of the quadrilateral

• Add the area of the circle and the quadrilateral

What is the measure of angle APB if the radius of the circle is 6 and the measure of APB is 60°?

• 90°

• 120°

• 60°

• 30°

What is the total angle of the arc in a 30-60-90 triangle inscribed in a circle?

• 180°

• 120°

• 60°

• 90°