Exploring Arc Length and Area of Sectors

What is the formula to calculate the arc length of a circle?

• Arc length = (Angle/360) * Circumference

• Arc length = (Angle/180) * Radius

• Arc length = 2π * Radius

• Arc length = π * Diameter

Tags

CCSS.HSG.C.B.5

How is the area of a sector calculated?

• Area = π * Radius^2

• Area = 2π * Radius

• Area = (Angle/360) * π * Radius^2

• Area = (Angle/180) * π * Radius

Tags

CCSS.HSG.C.B.5

If the angle of a sector is 150 degrees and the radius is 8, what is the arc length?

• 5π inches

• 20π/3 yards

• 25π meters

• 15π/2 inches squared

Tags

CCSS.HSG.C.B.5

What is the length of the arc if the angle is 300 degrees and the radius is 3?

• 6π inches

• 10π meters

• 5π inches

• 7.5 inches squared

Tags

CCSS.HSG.C.B.5

For a sector with a 300-degree angle and a radius of 3, what is the sector's area?

• 7.5 inches squared

• 25π meters squared

• 15π/2 inches squared

• 10π meters squared

Tags

CCSS.HSG.C.B.5

What is the radius of a circle if the sector area is 36π and the angle is 90 degrees?

• 14 inches

• 12 inches

• 10 inches

• 8 inches

Tags

CCSS.HSG.C.B.5

For a sector with a 90-degree angle and a radius of 10, what is the area of the segment?

• 20π/3 yards

• 15π/2 inches squared

• 25π meters squared

• 28.5 inches squared

Tags

CCSS.HSG.C.B.5

If the angle of a sector is 144 degrees and the radius is 5, what is the area of the sector?

• 15π/2 inches squared

• 25π meters squared

• 20π/3 yards

• 10π meters squared

Tags

CCSS.HSG.C.B.5

If a triangle within a sector has a base of 9.6 and a height of 1.4, what is the area of the triangle?

• 25π meters squared

• 10π meters squared

• 7.5 inches squared

• 6.7 meters squared

Tags

CCSS.HSG.C.B.5

How do you find the area of a segment of a circle?

• Area of the sector - Area of the triangle

• π * Radius^2 - Area of the triangle

• Area of the circle - Area of the sector

• 2π * Radius - Area of the triangle

Tags

CCSS.HSG.C.B.5