SOLUTION: Find the area of the shaded region. https://imgur.com/a/IaHCHvI

Algebra.Com
Question 1205049: Find the area of the shaded region.
https://imgur.com/a/IaHCHvI

Found 2 solutions by mananth, Edwin McCravy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
1. Area of sector - area of triangle = area of shaded portion
CM = 16* sin 27.5 degrees =7.3879*2=14.775
OM = 16* cos 27.5 degrees =14.19
Area of triangle = 1/2 *14.775*14.19=104.828 cm^2
Area of sector =


= =122.87 cm^2


122.87-104.828= 18.042 cm^2 approx Area of shaded portion.


OR you can directly use the formula given below


A =


A=5*256*((pi*55/180)-sin55degrees)


.

Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
Area of the segment marked with X:



The area of the whole sector is  



The area of the triangle is



Answer = area of sector - area of triangle = 122.8711793-104.8514617 =

18.0197176 cm2

Edwin

RELATED QUESTIONS

In the diagram attached below, what is the area of the shaded region? Diagram:... (answered by ikleyn)
If line DE = {{{ 12 sqrt( 3 ) }}} in the diagram, what is the area of the shaded region? (answered by ikleyn)
Find the area of the shaded regions. Express the answer as a single fraction in simplest... (answered by math_tutor2020)
Please help: A triangle is placed in a semicircle with a radius of 9ft, as shown... (answered by ankor@dixie-net.com)
In the diagram below, ABCD is a square with sides 8 cm. Arcs of radius 8 cm are drawn... (answered by MathLover1)
In the diagram below, AEFD is a rectangle. G and H are midpoints of Line EK and Line FK... (answered by Edwin McCravy)
https://imgur.com/c7zQ0QS In the diagram, AD is the median of triangle ABC. Find the area (answered by Edwin McCravy,greenestamps)
Find the area of the shaded region.... (answered by Edwin McCravy)
What is the area in the figure below, in m^2?... (answered by ikleyn,MathTherapy)