Concept explainers
a.
To determine the area of the outer
a.
Answer to Problem 55PPS
Explanation of Solution
Given:
Radius of inner circle is
Formula used:
Area of circle
Calculation:
First find the area of the inner circle,
Area of inner circle
Now, finding out the area of outer circle,
Area of circle
Now this is the area of outer circle including the inner circle.
Removing the inner circle area from this total outer area circle can give the outer circle area,
Area of the outer circle
Conclusion:
Therefore, area of the outer circle is
b.
To determine the expression of the area of the square outside the larger circle.
b.
Answer to Problem 55PPS
Explanation of Solution
Given:
The square of the wrestling mat is 38 foot sides, Radius of inner circle is
Formula used:
Area of square
Calculation:
Now, from the above two area of smaller circle including the outer yellow circle is
For the area of outer portion of the square outside the circle, first take the area of whole square.
Whose side is
So,
Area of square
Now,
Area of square portion outside the outer yellow circle
Conclusion:
Therefore, area of square portion outside the outer yellow circle is
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