Inscribed Circle Calculator

Inscribed Circle Calculator: Calculate the radius and circumference of a circle inscribed in a triangle

Are you looking to calculate the radius and circumference of a circle inscribed in a triangle? Look no further! Our inscribed circle calculator makes it easy to determine the size of the circle that fits perfectly inside a triangle.

What is an inscribed circle?

An inscribed circle, also known as an incircle, is a circle that is tangent to all three sides of a triangle. This means that the circle is enclosed within the triangle and touches each side at exactly one point.

Inscribed Circle Calculator

Why calculate the inscribed circle?

Calculating the radius and circumference of an inscribed circle is useful in geometry and trigonometry, as it can help determine the relationships between the sides and angles of a triangle. It is also a common problem in math competitions and tests.

How to use the inscribed circle calculator

To use our inscribed circle calculator, simply input the lengths of the sides of the triangle into the designated fields. The calculator will then determine the radius and circumference of the inscribed circle based on the inputted values.

Formula for calculating the radius of the inscribed circle

The radius of the inscribed circle can be calculated using the following formula:

r = A / s

Where r is the radius of the inscribed circle, A is the area of the triangle, and s is the semi-perimeter of the triangle (s = (a + b + c) / 2, where a, b, and c are the lengths of the sides of the triangle).

Formula for calculating the circumference of the inscribed circle

The circumference of the inscribed circle can be calculated using the following formula:

See also  Quarter Circle Calculator

C = 2πr

Where C is the circumference of the inscribed circle and r is the radius of the inscribed circle.

Example calculation

Let’s say we have a triangle with side lengths of 3, 4, and 5 units. Using the inscribed circle calculator, we find that the radius of the inscribed circle is 1 unit and the circumference is 2π units.

Conclusion

Calculating the radius and circumference of an inscribed circle in a triangle is a valuable skill in geometry and trigonometry. With our inscribed circle calculator, you can easily determine the size of the circle that fits perfectly inside a triangle. Try it out today!