Let's start with " times a number". We will use
to represent the number.
" less than" is next.
Finally, "is ".
Put it all together to get an expression.
Now, let's solve for the unknown number.
Add on both sides of the equation.
Divide both sides of the equation by to isolate
.
The area of the shaded sector must be 144π units².
<h3>What is the area of the circle?</h3>The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle =
We know that the angle measurement of central angle QRS is less than π radians.
for r = 18 units
The area of the circle = π18² = 324π units²
The area of the half of a circle = 324π /2 = 162π units²
The area of a quarter of a circle = 324π /4 = 81π units²
so
The area of the shaded sector < 162π units²
and
The area of the shaded sector > 81π units²
Hence the answer must be 144π units²
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