Correct option is C)
ABC is on equilateral triangle of side 14 cm.
M is the centre of the circumcircle.
Height (H) of the equilateral triangle is given by
2
3
×s, where s is the side of the equilateral triangle
H⇒
2
3
×14 (∵s=14cm)
H⇒7
3
cm ...(i)
∵ in an equilateral triangle , orthocenter, centroid and circumcenter and incenter coincide, and the radius (R) of the circumcircle =
3
2
H
⇒R=
3
2
×7
3
[From (i)]
⇒
3
14
3
Area of circle = πR
2
=
7
22
×
3
14
3
×
3
14
3
=
9
44×52
cm
2
..(i)
Area of ΔABC=
4
3
×s
2
=
4
3
×14×14=
4
196
3
=49
3
cm
2
=84.87cm
2
Area of shaded region = Area of circle - Area of ΔABC
=(205.33−84.87)cm
2
=120.46cm
2