Answer:
Step-by-step explanation:
There are 2 formulas for the area of a sector, but since we are given the central angle in degrees (not radians), we will use this formula:
Where θ is the central angle and r is the radius.
For this circle, the radius is 9 yards and the central angle is 270 degrees. We can substitute these values into the formula.
Solve the fraction.
Solve the exponent.
- (9 yd)²= 9 yd* 9 yd=81 yd²
Multiply all three numbers together.
The question asks us to round to the nearest tenth.
- 190.8<u>5</u>1753706
The 5 in the hundredth place tells us to round the 8 up to a 9.
The area of the sector is approximately <u>190.9 square yards. </u>