A circle of radius 3 units is divided into 3 regions using two semicircles of radius 1 unit and 2 units as shown in figure.What is the ratio of the areas of the region marked A, B and C
Answers
Answered by
0
Answer:
Area of the shaded region = Area of circle with center at O - Area of semicircle with center at O-Area of smaller semicircle with radius r
′
-Area of smaller semicircle with radius r
′
Here, r=
2
28
=14
r
′
=
2
r
=>r
′
=
2
14
=>r
′
=7
Area of the shaded region =πr
2
−
2
πr
2
−
2
πr
′
2
−
2
πr
′
2
=
2
πr
2
−πr
′
2
=
2
π×14
2
−π7
2
=
2×7
22×14×14
−
7
22×7×7
=22×14−22×7
=22×7
=154cm
2
Answered by
0
Answer:
1:1:1
Step-by-step explanation:
Area of region A = area of region C = π(9 4 1) − + = 6π
Area of region C=2 (4 1) − π = 6π
Ratio = 1:1:1
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