Answer:
The measure of the third arc is 
Step-by-step explanation:
step 1
we know that
The measurement of the external angle is the semi-difference of the arcs which comprises
in this problem
Let
x----> the greater arc of the circle intercepted by the secant and the tangent
y----> the smaller arc of the circle intercepted by the secant and the tangent
----> equation A
-----> equation B
Substitute equation B in equation A and solve for y
Find the value of x
step 2
Find the measure of the third arc
Let
z------> the measure of the third arc
we know that
-----> complete circle
substitute the values and solve for z
Answer:
VW = 7
Step-by-step explanation:
Because it is a parallelogram, UX = VW
x-4 = 2x - 15
11 = x
VW = 2 x 11 - 15
VW = 7
The answer is 9
You divide by 1215 by 15 and the answer is 81
Then you find the square root of 81 and the answer is 9
ANSWER
EXPLANATION
Let R be the radius of the bigger circle and r, be the radius of the smaller circle.
Then their ratio is given as,
We can rewrite it as fractions to get,
We make R the subject to get,
The area of the bigger circle can be found using the formula,
This implies that,
But it was given in the question that, the area of the bigger circle is 27π.
We divide through by 9π to get,
This means that,
The area of the smaller circle is therefore
