# Circle section

An equilateral triangle with side 33 is an inscribed circle section whose center is in one of the triangle's vertices, and the arc touches the opposite side.

Calculate:

a) the length of the arc

b) the ratio between the circumference to the circle sector and the perimeter of the triangle

Calculate:

a) the length of the arc

b) the ratio between the circumference to the circle sector and the perimeter of the triangle

### Correct answer:

Tips for related online calculators

See also our right triangle calculator.

Calculation of an equilateral triangle.

See also our trigonometric triangle calculator.

Calculation of an equilateral triangle.

See also our trigonometric triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Equilateral triangle v3

Find the area of the colored gray part. An equilateral triangle has a side length of 8 cm. Arc centers are the vertices of a triangle. - Circle arc

The circle segment has a circumference of 135.26 dm and 2096.58 dm² area. Calculate the radius of the circle and the size of the central angle. - Math heart

A stylized heart shape is created from a square with a side of 5 cm and two semicircles over its sides. Calculate the area and its circumference. - Circular segment

Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm, and the angle α = 60°. Help formula: S = 1/2 r². (Β-sinβ) - Determine 8010

Determine the cone's base's radius if its shell develops into a circular section with radius "s" = 10 and center angle x = 60 °. r = ?, o =? - Eq triangle minus arcs

In an equilateral triangle with a 2cm long side, the arcs of three circles are drawn from the centers at the vertices and radii 1cm. Calculate the area of the shaded part - a formation that makes up the difference between the triangle area and circular cu - V-belt

Calculate the length of the V-belt when the diameter of the pulleys is: D1 = 600 mm D2 = 120 mm d = 480 mm (distance between pulley axes) - N points on the side

An equilateral triangle A, B, and C on each of its inner sides lies N=13 points. Find the number of all triangles whose vertices lie at given points on different sides. - Axial section

Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm. - Circumference 4278

An inscribed circle is also described as an equilateral triangle with a side length of 8 cm. How many cm is the circumference of the inscribed circle smaller than the circumference of the described circle? - Larger perimeter

A square and a circle pass through two adjacent vertices of the square (endpoints of side a) and the center of the opposite side (c). Which of the plane shape has a larger perimeter? - Difference 66354

A circle is inscribed in a square with a side of 12 cm so that it touches all its sides. Calculate the difference between the area of the square and the circle. - Quadrilateral in circle

A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles. - A spherical segment

The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Circumference 22503

The perimeter of the round bed is 36m. Find the length of the part of its circumference that belongs to the given center angles of 180° - Arc

The circle arc corresponding to the angle is 32° is 28 dm long. What is the length of the entire circle? - Circumference 42471

The lengths of the sides of the triangle ABC are in the ratio 4:2:5. Calculate the size of the longest side of a similar KLM triangle, whose circumference is 66 cm.