Question

The vertices of a
triangle lie on the
circumference of a
circle. If its sides are
2.5 cm, 6 cm, and
6.5 cm, what is the
area of the circle (in
cm)?​

Answer 1

Answer:

Steps of Construction:

1. Construct △ABC having sides BC=7cm,AC=5cm and AB=6cm.

2. Draw angle bisector of any two angles say ∠B and ∠C of △ABC and let these intersect at a point say O.

3. Draw perpendicular from O on any side of triangle, say OP on BC.

4. Taking O as centre and OP as radius, draw a circle.

5. The circle touches the other two sides of triangle. This will be the required in circle of the triangle.

Radius, OP of incircle is 1.6 cm.

Answer 2

Answer:

2.5 Pie is the Correct Answer in the Question