What is the area of a sector of a circle with radius r and angle θ?

Area = (θ/360°) × πr²

True or False: A segment of a circle is the area between a chord and the corresponding arc.

True

If the angle of a minor sector is 90°, what is the angle of the corresponding major sector?

270°

Fill in the blank: The area of a segment is calculated as the area of the ______ minus the area of the corresponding triangle.

Sector

Which of the following represents the area of a major segment? 

A) Area of sector - Area of triangle 

B) Area of circle - Area of minor segment 

C) Area of triangle - Area of sector 

D) Area of sector - Area of circle

B) Area of circle - Area of minor segment

True or False: The angle subtended by the arc at the center of the circle is known as the angle of the chord.

False. It is known as the angle of the sector.

What is the formula to calculate the area of a triangle formed by two radii and a chord in a circle?

Area = 1/2 × base × height

Fill in the blank: A ______ is a line segment that joins any two points on the circumference of a circle.

Chord

If the radius of a circle is 10 cm and the angle is 120°, what is the area of the corresponding sector?

Area = (120/360) × π × (10)² = (1/3) × π × 100 = (100π/3) cm²

Which of the following describes a minor segment? 

A) Made by a major arc 

B) Lies between a chord and minor arc 

C) Is larger than the major segment 

D) None of the above

B) Lies between a chord and minor arc

True or False: The area of a circle can be calculated using the formula πr².

True

What does the area of a minor segment equal?

Area of the sector - Area of the triangle formed