Question

If the major arc is 10 less than four times the measure of minor arc, what is the measure of major arc?

Answer 1

Step-by-step explanation:

Total arc length =2πr

let the major arc =x

implies minor arc =2πr-x

then the question can be written as

$4(2\pi \: r - x) - 10 = x \\ 8 \: \pi \: r - 4x - 10 = x \\ 5x = 8\pi \: r - 10 \\ x = \frac{8}{5} \times \pi \: r - 2$