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1 answer:
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The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
Step-by-step explanation:
The given is,
Circumference of a circle is 56.52 inches.
Step:1
Formula for circumference of circle is,
........................(1)
Where, r - Radius of circle
From the given,
C = 56.52 inches
Equation (1) becomes,
56.52 = 2 (r)
56.52 = (2) (3.14) (r)
56.52 = 6.28 (r)
r = 9 inches
Step:2
Formula for area of circle,
............................(2)
Where, r - Radius of circle
From the given,
r = 9 inches
Equation (2) becomes,
= (3.14) (81)
= 254.34
Area of circle, A = 254.34 square inches
Result:
The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.
9.
By the Segment Addition Postulate, SAP, we have
XY + YZ = XZ
so
YZ = XZ - XY = 5 cm - 2 cm = 3 cm
10.
M is the midpoint of XZ=5 cm so
XM = 5 cm / 2 = 2.5 cm
11.
XY + YM = XM
YM = XM - XY = 2.5 cm - 2 cm = 0.5 cm
12.
The midpoint is just the average of the coordinate A(-3,2), B(5,-4)
Answer: M is (1,-1)
You'll have to plot it yourself.
13.
For distances we calculate hypotenuses of a right triangle using the distnace formula or the Pythagorean Theorem.
Answer: AB=10
M is the midpoint of AB so
Answer: AM=MB=5
14.
B is the midpoint of AC. We have A(-3,2), B(5,-4)
B = (A+C)/2
2B = A + C
C = 2B - A
C = ( 2(5) - -3, 2(-4) - 2 ) = (13, -10)
Check the midpoint of AC:
(A+C)/2 = ( (-3 + 13)/2, (2 + -10)/2 ) = (5, -4) = B, good
Answer: C is (13, -10)
Again I'll leave the plotting to you.
We can compare 2 fractions by means of the cross multiplication method. In our case, we have
since 50 is greater than 24 then 10/12 is greater than 2/5:
