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Let C1 and C2 be the inscribed and circumscribed circles of a triangle with sides 3cm, 4cm and 5cm then
area of C1 is area of C2
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- 9/25
- 4/25
- 9/16
- 16/25
- 9/25
Correct Option: B
Using Rule 1 and 14,
It is a right angled triangle.
Radius of circum circle C2
= 5/2 cm. because
AC = Diameter of circle
Semi-perimeter of ∆ABC(s) = | = 6cm. | |
2 |
Area of ∆ABC = | × 3 × 4 = 6 sq.cm. | |
2 |
∴ In-radius = | = | = 1 cm. | ||
s | 6 |
∴ | = | ||||||
Area of C2 | π × | ² | |||||
2 |
= | ||
4 |
= | |
25 |