Answer:
c
Step-by-step explanation:
zkstodotdotsltlfzogzx9tskfzirif?izt
10*31=310
310*3=930
so answer is 930
The given radii of 4 and 6 and the sector angle of 112°, gives;
![C.\: \frac{56 \cdot \pi}{9}](https://tex.z-dn.net/?f=%20C.%5C%3A%20%5Cfrac%7B56%20%5Ccdot%20%5Cpi%7D%7B9%7D%20)
<h3>How can the measure of the shaded portion be found?</h3>
The possible figure that relates to the question can be described as follows;
Two concentric circles having radii of AE = 4, and AB = 6, respectively.
Sector of the circles formed by lines AC and AB, with angle of sector = 112°
The shaded portion is described by arcs FE and CB
Therefore;
Area of the sectors are found as follows;
![AFE = \frac{112 ^\circ}{360 ^\circ} \times \pi \times {4}^{2} = \frac{224 \cdot \pi}{45}](https://tex.z-dn.net/?f=AFE%20%3D%20%20%5Cfrac%7B112%20%20%5E%5Ccirc%7D%7B360%20%20%5E%5Ccirc%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%7B4%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B224%20%5Ccdot%20%5Cpi%7D%7B45%7D%20)
![ACB = \frac{112 ^\circ}{360 ^\circ} \times \pi \times {6}^{2} = \frac{56 \cdot \pi}{5}](https://tex.z-dn.net/?f=ACB%20%20%3D%20%20%5Cfrac%7B112%20%20%5E%5Ccirc%7D%7B360%20%20%5E%5Ccirc%7D%20%20%5Ctimes%20%5Cpi%20%5Ctimes%20%20%7B6%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B56%20%5Ccdot%20%5Cpi%7D%7B5%7D%20)
Area of the shaded portion, <em>A </em>is therefore;
![A= \frac{56 \cdot \pi}{5} - \frac{224 \cdot \pi}{45} =\frac{56 \cdot \pi}{9}](https://tex.z-dn.net/?f=%20%20A%3D%20%5Cfrac%7B56%20%5Ccdot%20%5Cpi%7D%7B5%7D%20-%20%5Cfrac%7B224%20%5Ccdot%20%5Cpi%7D%7B45%7D%20%3D%5Cfrac%7B56%20%5Ccdot%20%5Cpi%7D%7B9%7D%20)
![Shaded \: area, \: A= \frac{56 \cdot \pi}{9}](https://tex.z-dn.net/?f=%20Shaded%20%5C%3A%20area%2C%20%5C%3A%20A%3D%20%5Cfrac%7B56%20%5Ccdot%20%5Cpi%7D%7B9%7D%20)
Learn more about the sectors of a circle here:
brainly.com/question/22972014
#SPJ1
Answer:
length=∅/360*2πr
75/360*22/7*2*16
<u>75 *22*2*16</u>
360 7
=440/21
=20.95m
=21m
Step-by-step explanation:
21m