# Nonagon

Calculate the area and perimeter of a regular nonagon if its radius of the inscribed circle is r = 10cm

### Correct answer:

**Showing 3 comments:**

**Matematik**

try to start with angle 360/9 = 40°... Draw nine isosceles triangles with base a=4 cm and opposite angle 40°.

Or if you may calculate diameter of described circle - draw a circle and divide it into nine equal segments. (divide by 40° angle)

Or if you may calculate diameter of described circle - draw a circle and divide it into nine equal segments. (divide by 40° angle)

Tips for related online calculators

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

**algebra**- expression of a variable from the formula
**planimetrics**- Pythagorean theorem
- right triangle
- circle
- polygon
- area of a shape
- perimeter
- triangle
**goniometry and trigonometry**- tangent

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Nine-gon

Calculate the perimeter of a regular nonagon (9-gon) inscribed in a circle with a radius 13 cm. - Hexagon

Draw a regular hexagon inscribed in a circle with a radius r=8 cm. What is its perimeter? - Pentagon

Calculate the length of a regular pentagon's side, circumference, and area, inscribed in a circle with a radius r = 6 cm. - Calculate 25621

Calculate the area of a regular hexagon inscribed in a circle with a radius r = 7 cm. - Circumscribed 22713

Calculate the circumference and the area of a regular ten-angle polygon if the radius of the circumscribed circle r = 20 cm. - Hexagon A

Calculate the area of a regular hexagon inscribed in a circle with radius r=9 cm. - Calculate 16223

The following elements are known in the right triangle ABC: a = 10 cm, height to side c h = 9.23 cm. Calculate o, R (radius of the inscribed circle), r (radius of the inscribed circle). - Hexagon in circle

Calculate the radius of a circle whose length is 10 cm greater than the circumference of a regular hexagon inscribed in this circle. - Circle and hexagon

Calculate the radius of a circle whose circumference is 8.4 cm longer than the inscribed regular hexagon's circumference. - Decagon

Calculate the area and circumference of the regular decagon when its radius of a circle circumscribing is R = 1m - Nine-sided 36071

Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm - 30-gon

At a regular 30-gon, the radius of the inscribed circle is 15cm. Find the side length a, circle radius R, circumference, and area. - Dodecagon

Find the area of a regular dodecagon (n=12) if the radius of the circumscribed circle is 5 cm. - Wooden prism

Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³. - Triangular 6610

The shell of the rotating cylinder is four times larger than the contents of its base. Determine the volume of the regular triangular prism inscribed in the cylinder. The radius of the bottom of the cylinder is 10 cm. - Inscribed 44101

A circle is inscribed in the triangle with sides of 13 cm, 14 cm, and 15 cm. What is its radius? - Regular n-gon

Which regular polygon has a radius of circumscribed circle r = 10 cm and the radius of inscribed circle p = 9.962 cm?