Kuta software infinite algebra 2 arc length and sector area

Q: What is the formula for a sector?

The formula for the area of the sector of a circle is 𝜃/360o (𝜋r2) where r is the radius of the circle and 𝜃 is the angle of the sector.

Q: How do you find the length of each arc?

To find arc length, start by dividing the arcs central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length.

-1-©8 a260k121G pKluytrax MSIoAfqtiwpa3rne4 hLJLfCN.S U KAslbl7 9rJipgFhctqsN ArjevsQeXrNv6e4dg.H B pMNa9dmeP Qwyi7tohr HIonYf4ianZiutNeO SA5legIexblr6aL c22.8 Worksheet by Kuta Software LLCKuta Software - Infinite Algebra 2Name___________________________________Arc Length and Sector AreaFind the length of each arc. Round your answers to the nearest tenth.Date________________ Period____1)2)11 ft270°315°13 ft3)16 ft4)π613 in3π25) r = 18 cm, θ = 60° 6) r = 16 m, θ = 75°7) r = 9 ft, θ = 7π 48) r = 14 ft, θ = 19π12Find the length of each arc. Do not round.9)10)315°8 cm150°19 ft11)12)π214 cm3π413 ft

Table of Contents Show

How do you find the arc length of a worksheet?
What is the formula for a sector?
How do you find the length of each arc?

Page 2: -2-©K U2F0k1S1M QKluMtGao XS9onfpt

How do you find the arc length of a worksheet?

The arc length of a circle can be calculated with the radius and central angle using the arc length formula, Length of an Arc = θ × r, where θ is in radian. Length of an Arc = θ × (π/180) × r, where θ is in degree.

What is the formula for a sector?

The formula for the area of the sector of a circle is 𝜃/360^o (𝜋r²) where r is the radius of the circle and 𝜃 is the angle of the sector.

How do you find the length of each arc?

To find arc length, start by dividing the arc's central angle in degrees by 360. Then, multiply that number by the radius of the circle. Finally, multiply that number by 2 × pi to find the arc length.