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How can i find theta in a sector given the radius and the area?
Im trying to get my homework done and i got stuck on this part, any help would be great, thanks :D
2 Answers
- ?Lv 74 years ago
The formula for area of a sector with θ in 𝐑𝐀𝐃𝐈𝐀𝐍𝐒
a = (θ/2)r²
Solve for θ:
Divide both sides by r²
a/r² = θ/2
Multiply both sides by 2
2a/r² = θ
θ = 2a/r² <––––––
The formula for area of a sector with θ in 𝐃𝐄𝐆𝐑𝐄𝐄𝐒
a = (θ/360)πr²
Solve for θ:
Divide both sides by πr²
a/(πr²) = (θ/360)
Multiply both sides by 360
360a/(πr²) = θ
θ = 360a/(πr²) <––––––
