Q. 45.0( 3 Votes )
There are two arcs 
of 
(O, OA) and 
of 
(M, MA) as shown in figure 13.24. Find the area enclosed by two arcs.
Figure 13.24
Answer :
from the figure we can notice all these
1. OAB is an equilateral triangle
(∵ All the sides are equal)
2. OAPB is a minor segment with Radius 14 cm, the angle (θ) between them is 60o
3. ABQ is a semi-circle with centre as M radius 7 cm
Area of the segment = 
= 
= 102.62 CM2
Area of the triangle = 
× OA2
= 
× 142
= 84.870 CM2
Area of the semi-circle =
Area of the segment - Area of the triangle
= 102.62 - 84.870
= 17.75 cm2
Area of the semi-circle = 
× r2
= 
× 72
= 76.96 cm2
area enclosed by two arcs =
Area of the semi-circle - Area of the semi-circle
= 76.96 – 17.75
= 59.20 cm2 (approximately)
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