I'm assuming D is the center of the circle. See the new figure.
Angle BDC = 106 degrees, that's the definition of arc measure.
Triangle BDC is isosceles (two radii make congruent sides) so the two remaining angles in BDC are equal, DBC=DCB=(180-106)/2=37 degrees.
Angle BAC = 106/2 = 53 degrees, subtending the arc of 106 degrees.
Angle CAD = 53/2 = 26.5 degrees because AD is a bisector, the shared hypotenuse of congruent right triangles AED and AFD.
AFD is also congruent to CFD, so angle DCA is also 26.5 degrees
Angle ACB is the sum of DCA and DCB, ACB = 26.5 + 37 = 63.5 degrees
The angle subtends the arc we seek, whose measure must be double:
10x - 23 = 2(63.5) = 127 degrees
10x = 150
x = 15
Answer: 15
area = I x w
so 25 x 13 = 325 square inches
Answer:
83%
Step-by-step explanation:
12 + 13 + 15 = 40
16 x 4 = 64
16 x 3 = 48
40/48 = 0.833333333333
Answer:
<em>Area = 254.34 inches ³</em>
Step-by-step explanation:
The formula to find the surface area of a sphere is:

To find the volume of the sphere, we first need to figure out the radius (
) of the sphere. We can accomplish this by reversing the formula that was used to find the surface area. 


Divide both sides by pi (
).


Divide both sides by 4.


Find the square root of both sides.


<em>radius = 9</em>
<em />
Insert the value of the radius into the formula for finding the volume of a sphere. 




<em>Area = 254.34 inches ³</em>
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~Hope this helps!~