Since all circles are similar, a proportion can be set up using the circumference and diameter of each circle. Substitute the va
lues d1 = 1, C1 = π, and d2 = 2r into the proportion.
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
B. Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction ,
2 = StartFraction 2 r Over pi EndFraction
C. Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
D. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
StartFraction C 1 Over d 1 EndFraction = StartFraction C 2 Over d 2 EndFraction
Which shows how to correctly solve for C2, the circumference of any circle with radius r?
A. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 2 r EndFraction , C 2 = 2 r pi
B. Because StartFraction 1 Over pi EndFraction = StartFraction C 2 Over 2 r EndFraction ,
2 = StartFraction 2 r Over pi EndFraction
C. Because StartFraction pi Over 2 r EndFraction = StartFraction C 2 Over 1 EndFraction , C 2 = StartFraction pi Over 2 r EndFraction
D. Because StartFraction pi Over 1 EndFraction = StartFraction C 2 Over 4 r EndFraction , C 2 = 4 r pi
2 answers:
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The length of CS is 11.0
Explanation:
Given that the length of the tangent AR is 12
The length of SR is 7.7
To find: The length of CS
The<u> tangent secant theorem</u> states that "if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant’s external part and the entire secant."
Applying the tangent secant theorem, we have,
Rewriting the above equation, we get,
Substituting the values, we get,
Simplifying, we have,
Subtracting both sides by 59.29, we get,
Dividing both sides by 7.7, we have,
Rounding off to the nearest tenth, we get,
Thus, the length of CS is 11.0
Answer:
Step-by-step explanation:
α and β are Supplementary (given)
It is given that:
Plugging the value of α in equation (1), we find:
So,