Question

Find M: (image below)
A. 1.25
B. 3.2
C. 20
D. 0.8
E. none of these

Answer 1

I'm not entirely sure how to go about this, so a step by step would be perfect.

Answer 2

its B

Answer 3

could you show me how to go through it to get the answer?

Answer 4

so i know for future problems.

Answer 5

@anwaarullah ?

Answer 6

ok wait i solve

Answer 7

okay thank you :)

Answer 8

no other given data ?

Answer 9

no, this is all that is provided for me.

Answer 10

so you have:
M/2 = 8/5
M = 16/5 = 3.2

Answer 11

okay so that is how it should be done? i thought so but wasn't completely sure.

Answer 12

mm ok, ill try to exlpain

Answer 13

the area of a sector is angle * radius^2 / 2
so the ratio between sectors depends only on the angles since the radius is the same.
now since the angles at the upper side and the lower side are the same for the different sectors the ratio is the same.

Answer 14

but be careful, this is not the way the areas of the sectors are calculated here (since the sectors have like "different" radius)
cause the formula angle * radius^2 /2 is valid for sectors that are made from the center of the circle