A circle is drawn in a sector of a larger circle of radius r as shown in figure. The smaller circle is tangent to the tw

### Question Asked by a Student from EXXAMM.com Team

Q 3061178025.     A circle is drawn in a sector of a larger circle of radius r as shown in figure. The smaller circle is tangent to the two bounding radii and the arc of the sector. The radius of the small circle is
A

\frac{r}{2}

B

\frac{r}{3}

C

\frac{2\sqrt{3r}}{5}

D

\frac{r}{\sqrt{2}}

#### HINT

(Provided By a Student and Checked/Corrected by EXXAMM.com Team)

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