In the diagram, O is the centre of the circle, o and o. Calculate the value of m.
Attached Figure / Diagram
A
30
B
36
C
40
D
72
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
In the diagram above, \(\alpha\) = 2mo (angle at centre = 2 x angle at circumference)
\(\alpha\) + 10mo = 360o (angle at circumference)
\(\alpha\) + 10mo = 360o(angles round a point)
2mo + 10mo = 360o
12mo = 360o
mo = \(\frac{360^o}{12}\)
= 30o
Source: Myschool Past Questions Archive (Record #46171)