The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
Answer:
which class question is this
1. -10/9
2. 2/5
3. -2/5
4. 3/5
5. 1/10
6. -10/3
Answer:
9π - 9
Step-by-step explanation:
Depends on what the question stated was pi (π). The area of the circle is 9(3 squared) * π. the shaded area is the area of the circle - the area of the triangle. The area of the triangle is base * high / 2. If the diameter of the circle (6) is what we use as the base, then 3 would be the high, making the area 9. This means the shaded area would be 9π - 9.
