# 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

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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