Question

Is drawn a circle is drawn in a sector of a larger circle of radius R ,as shown in the adjacent figure the smallest circle is tangent to the two bounding radii and arc of the circle the radius of the smaller circle is: (A) r/2 (B) r/3 (C) 2r/3 (D) None of these

Answer 1

Answer:

b option right

Step-by-step explanation:

radius of smaller circle is x Here OP = x cosec 30º

while OQ = r = x + x cosec 30º x = r/3

Answer 2

Step-by-step explanation:

Refer to the attachment..