What is the area of a right angled triangle if the radius of the Circumcircle is 5 cm and altitude drawn to the hypotenuse is 4?

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What is the area of Circumcircle of right angle triangle?

Approach: Since the hypotenuse C passes through the center of the circle, the radius of the circle will be C / 2. And we know that the area of a circle is PI * r2 where PI = 22 / 7 and r is the radius of the circle. Hence the area of the circumcircle will be PI * (C / 2)2 i.e. PI * C2 / 4.

What is the area of the formed right angle triangle?

Area of one right triangle = 1/2 × l × w. We usually represent the legs of the right-angled triangle as base and height. Thus, the formula for the area of a right triangle is, Area of a right triangle = 1/2 × base × height.

How do you find the Circumradius of a right angled triangle?

The circumradius of a right angled triangle is half the hypotenuse and the centre is the midpoint of the hypotenuse. Circum radius of a right angled ∆ is the half of its hypotenuse.

What is the area of a right angled triangle if the radius of its Circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm?

What is the relation between radius of Circumcircle and hypotenuse of the triangle?

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What is the area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm?

What’s the area of a circumcircle?

The area and perimeter of a circumcircle are the same as they would be for any other circle. If a circle has radius r, then the formulas for the area and perimeter of that circle, are as follows: Area of a circle = πr2. Perimeter of a circle = 2πr.

How do you find a right-angled triangle?

It is possible to determine if a triangle contains a right angle using Pythagoras’ theorem . If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

What is meant by circumradius?

Definition of circumradius : the radius of a circumscribed circle.

What is Inradius and circumradius?

Inradius The inradius( r ) of a regular triangle( ABC ) is the radius of the incircle (having center as l), which is the largest circle that will fit inside the triangle. Circumradius: The circumradius( R ) of a triangle is the radius of the circumscribed circle (having center as O) of that triangle.