Question

Solve for a!
264=π×a×(20-a)
Thank you!

Answer 1

a ≈ 14 or 6

Explanation:

264 = π × a × (20 - a)

a(20 - a) =
`(264)/(Pi)` ≈ 84 (rounded off to nearest whole number)

Opening the brackets we get;

a² - 20a + 84 = 0

Applying the quadratic formula we get:

a ≈ 14 or 6