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.
<h2>Hey Mate, Your Answer Is Here</h2>
Answer:
C Rectangle
Answer: 24cm
Step-by-step explanation:
Inradius = r
c = the hypothenuse
a & b = the other 2 sides of the triangle
Inradius formula: r = 1/2 * (a+b-c)
Plug in what we know.
2 = 1/2 * (a+b-10)
Multiply both sides by 2.
2*2 = 1/2 * (a+b-10) * 2
4 = a+b-10
Add 10 to both sides.
4+10 = a+b-10+10
14 = a+b
Perimeter formula: P=a+b+c
Plug in what we know
(remember a+b=14).
P=14 + 10
P = 24