In the figure below, ∠APE and ∠EPD are congruent.
1 answer:
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Given:
Circle C and circle R are similar.
The length of arc AB is
The radius of circle C (AC) = 4 unit
The radius of circle R (QR) =6 unit
To find the length of arc QP.
Formula
The relation between s, r and is
where,
s be the length of the arc
r be the radius
be the angle.
Now,
For circle C
Taking r = 4
According to the problem,
or, [ eliminating
from both side]
or,
or,
Again,
For circle R
Taking, r = 6 and we get,
The length of arc QP is
or,
Hence,
The length of QP is . Option C.
The given system is
Given that y = y, let's combine the equations
Let's solve for x
Then, we find y
The solution is (2, -3).
The image below shows the solution graphically.
