Question

(geometry question!) use the (figure in comments) circle to answer the question.

1. Approximate the area of the circle segment bounded by line DE and arc DE.

2. Calculate the circumfrence of circle Q.

3. Calculate the area of circle Q.

4. Calculate the length of arc DE.

5. Calculate the area of the sector bounded by line DQ.

Answer 1

`1. \\A_{\triangle{QDE}}= (15*15*sin(72^o))/(2) \approx 107 \\ \\A_(sector)= (15^2\pi* 72^o)/(360^o ) \approx 141.37 \\ \\A=141.37-107=34.37 \\ \\2. \\C=2* 15 * \pi=30\pi \\ \\3. \\A=15^2\pi=225\pi \\ \\4. \\l= (2* 15 \pi * 72^o)/(360^o) =6\pi \\ \\5. \\A_(DQ)= (15^2\pi)/(2) = (225\pi)/(2)`