38. ABC is an equilateral triangle. P and Q, R
and S, T and U respectively divide the sides
AB, BC and CA in 3 equal parts. The ratio
of the shaded area to area of A ABC is
(a) 1:2
(b) 2:3
(C) 3:4
(d) 5:9
Answers
Answered by
1
Step-by-step explanation:
⇒ Here, Radius of circle r=7cm
⇒ Area of circle =πr
2
=
7
22
×(7)
2
=154cm
2
⇒ Side of equilateral triangle is 14cm.
⇒ Area of equilateral triangle =
4
3
×(side)
2
⇒ Area of equilateral triangle =
4
3
×(14)
2
⇒ Area of equilateral triangle =
4
1.73
×196=84.87cm
2
⇒ ∠A=60
o
[ Angle of equilateral triangle ]
∴ θ=60
o
⇒ Area of sector =
360
o
θ
×πr
2
⇒ Area of sector =
360
o
60
o
×
7
22
×(7)
2
∴ Area of sector =25.66cm
2
⇒ Area of shaded region = (Area of circle + Area of equilateral triangle ) - 2×Area of sector
⇒ Area of shaded region =(154+84.87)−51.32=187.55cm
2
Answered by
1
Answer:
D 5:9 is the answer of your questions
Similar questions