With I as centre, draw a circle which will inscribe in triangle of each side of the triangle equal to 4.3 cm.

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of Delta ABC is

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right angled triangle whose radius of circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. The value of r is

The area of an equilateral triangle is 1732. 05\ c m^2 . About each angular point as centre, a circle is described with radius equal to half the length of the side of the triangle. Find the area of the triangle not included in the circles. (U s e\ \ pi=3. 14) .

An equilateral triangle is inscribed in a circle. If a side of the triangle is 12 cm. If a side of the triangle is 12 cm. Find the area of the circle.

If a triangle is inscribed in a circle, then prove that the product of any two sides of the triangle is equal to the product of the diameter and the perpendicular distance of the thrid side from the opposite vertex.

Construct a circle, inscribing an equilateral triangle with side 5.6 cm.

There is an equilateral triangle with side 4 and a circle with the centre on one of the vertex of that triangle. The arc of that circle divides the triangle into two parts of equal area. How long is the radius of the circle?

PQR is a right angled triangle at Q with QR =12 a=cm and PQ=5cm. A circle with centre O is inscribed in trianglePQR. Find the radius of the circle.

A side of an equilarteral triangle is 20 cm long .A second equilateral triangle is inscribed in it by joning the mid -point of the sides of the first triangle . The process is caontinued as shown in the accompanying diagram . find the perimeter of the sixth inscribed equilateral triangle .

Each side of an equilateral triangle subtends an angle of 60^(@) at the top of a tower h m high located at the centre of the triangle. If a is the length of each side of the triangle, then