# What is the apothem of a regular polygon inscribed in a circle?

## What is the apothem of a regular polygon inscribed in a circle?

The apothem of a regular polygon is the line segment drawn from the center of the polygon perpendicular to one of its edges. It is also the radius of the inscribed circle of the polygon.

Is the apothem equal to the side of a regular polygon?

The apothem is always perpendicular to the side on which it ends. A regular polygon has all its sides and angles equal.

### Which circle has a central angle that measures 40 quizlet?

She wants the area of the base to be between 135 cm^2 and 155 cm^2. Circle AC with a radius of 7 centimeters. Which circle has a central angle that measures 40°? The second circle.

What is the apothem of a regular octagon?

The right triangle half of the eight isosceles triangles forming the regular octagon had a central angle of 360/16=22.5° and the opposite side length of 160/16=10 feet. The apothem is 10/tan 22.5°=24.142 feet. An octagon has 8 sides.

## What is apothem pyramid?

For a regular pyramid, which is a pyramid whose base is a regular polygon, the apothem is the slant height of a lateral face; that is, the shortest distance from apex to base on a given face.

What is a apothem used for?

The apothem a can be used to find the area of any regular n-sided polygon of side length s according to the following formula, which also states that the area is equal to the apothem multiplied by half the perimeter since ns = p. An apothem of a regular polygon will always be a radius of the inscribed circle.

### How do you find the apothem of a regular hexagon?

To do this, use a calculator or a trigonometry table. Multiply the tangent by 2, then divide the side length by this number. This will give you the length of the apothem of your hexagon.

Whats the radius of a circle that has a circumference of 16 pi?

Correct answer: The circumference of a circle = πd where d = diameter. Therefore, this circle’s diameter must equal 16. Knowing that diameter = 2 times the radius, we can determine that the radius of this circle = 8.

## Why are lines E and C skew lines quizlet?

Why are lines e and c skew lines? They lie in different planes and will never intersect.

What is apothem math?

Given a circle, the apothem is the perpendicular distance from the midpoint of a chord to the circle’s center. It is also equal to the radius minus the sagitta , For a regular polygon, the apothem simply is the distance from the center to a side, i.e., the inradius. of the polygon.

### What is apothem of a polygon?

Apothem. Equivalently, it is the line drawn from the center of the polygon that is perpendicular to one of its sides. The word “apothem” can also refer to the length of that line segment. Regular polygons are the only polygons that have apothems. Because of this, all the apothems in a polygon will be congruent .

What is the apothem of a graph?

Graphs of side , s; apothem , a; and area , A of regular polygons of n sides and circumradius 1, with the base , b of a rectangle with the same area. The green line shows the case n = 6. The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides.

## What is the apothem of a hexagon?

Apothem of a hexagon. Graphs of side, s ; apothem, a and area, A of regular polygons of n sides and circumradius 1, with the base, b of a rectangle with the same area – the green line shows the case n = 6. The apothem (sometimes abbreviated as apo) of a regular polygon is a line segment from the center to the midpoint of one of its sides.

What is apothem given the length of a side?

Apothem given the length of a side. By definition, all sides of a regular polygon are equal in length. If you know the length of one of the sides, the apothem length is given by the formula: