<h3>
Answer: Approximately 13 square units (choice B)</h3>
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Explanation:
The given reflex angle is 215 degrees. A reflex angle is anything over 180 degrees, but less than 360. Subtract 215 from 360 to get the measure of angle AOB
angle AOB = 360 - 215 = 145
angle AOB = 145 degrees
We'll use this later.
Now find the area of the full circle. Use the formula A = pi*r^2. The radius is r = sqrt(10) which can be found through the distance formula or the pythagorean theorem. You want to find the length of either OA or OB to get the radius.
The area of the circle is
A = pi*r^2
A = pi*(sqrt(10))^2
A = 10pi
This is the exact area of the full circle, but we want just a fractional portion of it. Specifically we want the pie slice that is formed by angle AOB
area of sector AOB = [ (angle AOB)/360 ] * (area of full circle)
area of sector AOB = (145/360)*10pi
area of sector AOB = 145pi/36
area of sector AOB = 145*3.14/36
area of sector AOB = 12.647 approximately
area of sector AOB = 13 square units approximately, after rounding to the nearest whole number
Answer:
0.083333333333 or 8.3%
Step-by-step explanation:
3/9x2/8
The second fractions has a demoninator of 8 bc u already took one from the bag and didnt return it
the radius is half of the diameter, so d = 2r , or double the radius :)
Answer: -20
Step-by-step explanation: Using the same expression except positive numbers, 4 x 5 = 20.
In this case, we can use this equation to find the product for the expression
4 x -5.
If 4 x 5 = 20, then 4 times -5 will also equal 20. However, since there is a negative factor in this expression, our answer will be negative causing our answer to be <u>-20.</u>
Just divide 402 by 8
402 is in the house 8 is on the outside