# How do you find the area of a star in a pentagon?

## How do you find the area of a star in a pentagon?

area of the star = 5 times area of quadrilateral OAXB. area of OAXB = area of triangle BOA – area of triangle BXA. area of triangle BOA = area of an isosceles triangle with base 10 cm and vertex angle 72°. area of triangle BXA = area of an isosceles triangle with base 10 cm and vertex angle 108°.

### How do we calculate the area of a star?

The surface area of a star is directly related to the square of its radius (assuming a spherical star). (5.67 x 10-8 Wm-2K-4), and T is the star’s surface temperature in Kelvin….Calculating the Radius of a Star.

b-v Surface Temperature (Kelvin)
-0.24 23,000
-0.20 18,500
-0.12 13,000
0.0 9500

How do you find the area of a 5 pointed star?

Area of Regular Five-Pointed Star

1. θ=36∘
2. 12θ=18∘
3. 36∘+18∘+β=180∘
4. β=126∘
5. asin18∘=20sin126∘
6. a=7.64 cm.
7. AABO=12(7.64)(20)sin36∘
8. AABO=44.903 cm2.

What is the area inside a pentagon?

The basic formula that is used to find the area of a pentagon is, Area = 5/2 × s × a; where ‘s’ is the length of the side of the pentagon and ‘a’ is the apothem of a pentagon.

## Can a star be a pentagon?

A regular star pentagon, {5/2}, has five corner vertices and intersecting edges, while concave decagon, |5/2|, has ten edges and two sets of five vertices. The first are used in definitions of star polyhedra and star uniform tilings, while the second are sometimes used in planar tilings.

### What is the apothem of a pentagon?

Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.

Does a star have equal sides?

This 5-pointed star is regular because every side (such as AB) has the same length and the angles between adjacent sides (such as AB and BC) are equal (to 36 degrees).

How do you find the apothem of a pentagon?

Using a Formula. Area of a regular pentagon = pa/2, where p = the perimeter and a = the apothem. If you don’t know the perimeter, calculate it from the side length: p = 5s, where s is the side length.

## What does a 6 pointed star mean?

The six-pointed star is commonly used both as a talisman and for conjuring spirits and spiritual forces in diverse forms of occult magic. In the book The History and Practice of Magic, Vol. 2, the six-pointed star is called the talisman of Saturn and it is also referred to as the Seal of Solomon.

### Is a star a shape?

However, the shape of a star is almost a perfect sphere. It is impossible to distinguish with the naked eye that they are flattened. Determining the difference between the length of the short and long axes can only be done with an accurate measuring instrument that is sensitive to a thousandth percent.