1.what is the area of a sector with a central angle of 160 degrees and a diameter of 5.8m? round the answer to the nearest tenth

Question

A. 8.1 m^2
B.4.0 m^2
C.47.0 m^2
D.11.7 m^2

2.what is the area of a regular octagon with a side of 8 in round the answer to the nearest tenth.
A 443.4in^2
B. 618.0in^2
C. 221.7 in^2
D. 309.0 in^2

Answer 1

the area is 1/2 r^2 θ
= 1/2 * 2.9^2 * 160/180 π
= 11.74

The central angle of an octagon is 45°.
area = 1/2 apothem * perimeter
= 1/2 (4/tan 22.5°) * 8*8
= 309.0

Answer 2

What is the answer to this example:The area of circle PQR with centre O is 72cmsquare.what is the area of sector POQ if POQ=40degree?(WAEC) question

Answer 3

correct

Answer 4

1. 60cm
2. m<1=36,m<2=144
3. 13/3 and 169/9
4. 172.0 in
5. 162
6. 26pi in
7. 23.04pi
8. 11.7 m
9. (120pi+36(square root)3) m

Answer 5

All of your answers seem to be correct! Great job!