How Do You Find the Area of a Sector of a Circle?

Remember. to find the area of a sector, you need to know the measure of the central angle and the radius, both of which we know!
'A' is the area of the sector (the shaded region)
The degree measure of the central angle, 'N', is 135
Pi, 'π', is an irrational number, so we its approximation of 3.14
The radius, 'r', is 9 yards
We plug our values in and use the order of operations

1. Remember. to find the area of a sector, you need to know the measure of the central angle and the radius, both of which we know!
1. Our formula is "A=N/360(πr²)"
2. 'A' is the area of the sector (the shaded region)
3. The degree measure of the central angle, 'N', is 135
4. Pi, 'π', is an irrational number, so we its approximation of 3.14
5. The radius, 'r', is 9 yards
1. Our formula is "A=N/360(πr²)"
2. The degree measure of the central angle, 'N', is 135
3. Pi, 'π', is an irrational number, so we its approximation of 3.14
4. The radius, 'r', is 9 yards
5. After plugging in, we get "A=135/360(3.14(9)²)"
1. Use the order of operations to solve this problem
2. First, square the 9
3. 9²=81
4. Then simplify by multiplying what's in the parentheses
5. 3.14(81)=254.34
6. 135/360(254.34)=95.3775
7. Since we need to round to the nearest hundredths, or two decimal places, the area of the sector is 95.38 yards squared

Find the area of the shaded sector in the circle at the right. Use 3.14 for π. Round your answer to the nearest hundredths.