Understanding Arcs and Sectors

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

• Arc Length = (θ/180) * πr

• Arc Length = (θ/360) * 2πr

• Arc Length = 2πr

• Arc Length = θ * r

If a circle has a radius of 10 cm and the central angle is 60 degrees, what is the length of the arc?

• 15π/4 cm

• 10π/3 cm

• 20 cm

• 5π cm

What is the area of a sector with a radius of 5 cm and a central angle of 90 degrees?

• 25.0 cm²

• 7.853981633974483 cm²

• 15.707963267949466 cm²

• 19.634954084936208 cm²

If the arc length of a circle is 15 cm and the radius is 5 cm, what is the central angle in degrees?

• 171.89

• 30 degrees

• 90 degrees

• 120 degrees

How do you calculate the area of a sector given the radius and the central angle?

• Area = (r² * θ) / 2

• Area = 2 * π * r

• Area = (θ/360) * π * r²

• Area = π * r * θ