How do you find the area of a regular decagon
Asked by admin @ in Mathematics viewed by 274 People
find the area of the regular decagon if the apothem is 5 inches and a side is 3.2 inches. Round to the nearest whole number
Answered by admin @
When you are given the side length and apothem of a regular polygon and asked for area, you are expected to use the formula
... A = (1/2)Pa
where P is the perimeter of the polygon, "a" is the apothem, and A is the area.
The only additional information you need is that a decagon has 10 sides, so its perimeter is 10×3.2 inches = 32 inches.
The area is ...
... A = (1/2)(32 in)(5 in)
... A = 80 in²
_____
Sometimes the dimensions of a problem like this don't quite add up. The geometry of a regular polygon means that the apothem can be found from the side length and vice versa. In this case, the side length of 3.2 inches means the apothem is about 4.92 inches; or the apothem of 5 inches means the side length is about 3.25 inches. Either way, the area is slightly different from that computed using the given numbers.
This is why I say you're expected to use the above formula. (You're not expected to think about it too much.)
Similar Questions
How to find the surface area of a regular pyramid
Asked by admin @ in Mathematics viewed by 313 persons
Find the surface area of the regular pyramid.
10 yd
9 yd
7.8 yd
lyd?
Find the area of a regular pentagon of side 8cm
Asked by admin @ in Math viewed by 388 persons
Find the area of a regular pentagon of side 8 cm
How to find the area of a regular pentagon formula
Asked by admin @ in Mathematics viewed by 295 persons
What is the area of regular pentagon with a side of 12 inches? Round the answer to the nearest 10th.
How to find area of z score on ti 84
Asked by admin @ in Mathematics viewed by 296 persons
Find the -scores that bound the middle 96 of the area under the standard normal curve by using the TI-84 calculator.
How do you find the area of a rectangular prism
Asked by admin @ in Mathematics viewed by 300 persons
could you use the formula for the surface area of a rectangular prism to find the surface area of a cube explain please help me.
How do you find a surface area of a prism
Asked by admin @ in Mathematics viewed by 333 persons
How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism? How is it different?
ANSWER:
For …
How do you find the surface area of a prism
Asked by admin @ in Mathematics viewed by 312 persons
How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism? How is it different?
ANSWER:
For …
How to find the total surface area of a sphere
Asked by admin @ in Mathematics viewed by 309 persons
Find the total surface area of a sphere with a radius of 9 m
How to find area of square when perimeter is given
Asked by admin @ in Mathematics viewed by 301 persons
A square has a perimeter of 25 inches. What is the area of the square?
How to find the area of a non right triangle
Asked by admin @ in Mathematics viewed by 326 persons
How to find the length of a triangle with only one side non right triangle?
How to find the area to the left of z
Asked by admin @ in Mathematics viewed by 269 persons
Find the area under the standard normal curve to the left of z = −2.8 and to the right of z = 2.06
How to find the surface area of an octagonal prism
Asked by admin @ in Mathematics viewed by 375 persons
DO NOT ANSWER UNLESS YOU HAVE AN EXPLANATION !!
One base of an octagonal prism has an area of 235 in.² The surface area of the prism is 500 in.² …
How do you find the surface area of a sphere
Asked by admin @ in Mathematics viewed by 289 persons
3. The formula to find the surface area of a sphere is to take the radius of the sphere and square it and multiply that amount by pi and then …
How do you find the area of an irregular triangle
Asked by admin @ in Mathematics viewed by 275 persons
An irregular figure was broken into a triangle and rectangle. The area of the triangle is in2. The area of the rectangle is in2. The area of the irregular figure …
How do i find the surface area of a prism
Asked by admin @ in Mathematics viewed by 308 persons
How is the surface area of any prism determined?
Most viewed questions in Mathematics
Unit 6 similar triangles homework 2 similar figures answer key
Asked by maham237 @ in Mathematics viewed by 18365 persons
All things algebra unit 7 polygons and quadrilaterals answer key
Asked by admin @ in Mathematics viewed by 8162 persons
Gina wilson all things algebra 2016 answer key unit 11
Asked by admin @ in Mathematics viewed by 5785 persons
Unit 1 geometry basics homework 4 angle addition postulate answers
Asked by maham237 @ in Mathematics viewed by 3936 persons
Unit 6 exponents and exponential functions homework 8 answer key
Asked by maham237 @ in Mathematics viewed by 3256 persons
The manager of a vacation resort believes that the ages
Asked by maham237 @ in Mathematics viewed by 2926 persons
What is 271 403 rounded to the nearest ten thousand
Asked by maham237 @ in Mathematics viewed by 2800 persons
Unit 1 geometry basics homework 3 angle relationships answer key
Asked by maham237 @ in Mathematics viewed by 2584 persons
Why would a prism beat a sphere in a competition?
Asked by maham237 @ in Mathematics viewed by 2481 persons
An artist sells a painting for 20.50 but uses 5.75
Asked by maham237 @ in Mathematics viewed by 2434 persons
Unit 4 congruent triangles homework 1 classifying triangles answer key
Asked by maham237 @ in Mathematics viewed by 2421 persons
Unit 4 congruent triangles homework 2 angles of triangles
Asked by maham237 @ in Mathematics viewed by 2077 persons
Compare the values of the 2s and 5s in 55220
Asked by maham237 @ in Mathematics viewed by 1796 persons