Answer:
4 cm
Step-by-step explanation:
centimeters
Hope this helps!
Answer:
18π cm²
Step-by-step explanation:
The area of the shaded region = Area of Sector
Radius, r =
The value of θ = 80°
Recall :
Area of Sector :
A = θ / 360 * πr²
A = (80 / 360) * π * 9²
A = 0.222222 * π * 81
A = 18π cm²
To do this you first have to find the measure of the angle that is inside that pie-shaped part of the circle. The measure around the circle is 360 which is the same as 2pi. Subtract 5pi/3 from 2pi and you get pi/3, which happens to be a 60 degree angle. What you are looking for is arc length (not arc measure which is measured in degrees, not inches, feet, etc.) The formula for that is this:
![\frac{ \beta }{360}* \pi d](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Cbeta%20%7D%7B360%7D%2A%20%5Cpi%20d%20)
, where beta is the arc measure in question and d is the diameter of the circle. If the central angle we found measured 60 degrees, then the arc it intercepts also measures 60 degrees, therefore s measures 300 (360-60). So now our formula looks like this:
![\frac{300}{360} * \pi 18](https://tex.z-dn.net/?f=%20%5Cfrac%7B300%7D%7B360%7D%20%2A%20%5Cpi%2018)
. When you do all that math, multiplying pi in, you get an arc length of 47.1, the first choice.
It would be 36°. You know that an acute angle is an angle under 90°. You got kinda mixed up because you drew on the diagram wrong. The 1x is supposed to be where you drew the 4x. You were correct when you said that 1x (the acute angle) + 4x (the obtuse angle) make up 5x which is equal to 180°!
I think it’s B. You wouldn’t have to multiply since it’s only adding or subtracting, and you don’t add exponents when you’re adding monomials.