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The area of the entire region, rounded to two decimal places, shown in the
figure below which consists of an isosceles triangle
![Check Mark](/static/check-mark.png)
Answer to Problem 16CT
Solution:
The area of the entire region is
Explanation of Solution
Given information:
Triangle
Explanation:
Draw a line on the diagram passing through point
the side
Hence,
Consider the right angled triangle
By substituting the value of
The length of side
The area of the semicircle is
Substitute the value of
Thus, the area of the shaded semicircle is
As a triangle
Use the formula for the area
The area of the isosceles triangle
By substituting the values of the sides of a triangle and the angle in the formula,
Thus, the area of the triangle
The area of the entire region is the shaded semicircle and the area of the isosceles triangle
So, the total area is
Therefore, the area of the entire region is
Chapter 8 Solutions
Precalculus
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