# Recent questions tagged circles

1
Line $AB$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $C.$ Points $A$ and $B$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is $13$ m $5$ m $7$ m $4$ m
2
What is the measure of the radius of the circle that circumscribes a triangle whose sides measure $9, 40$ and $41$? $6$ $4$ $24.5$ $20.5$
1 vote
The sum of the areas of two circles which touch each other externally is $153\pi$. If the sum of their radii is $15$, find the ratio of the larger to the smaller radius $4$ $2$ $3$ None of these
A pole has to be erected on the boundary of a circular park of diameter $13$ meters in such a way that the difference of its distances from two diametrically opposite fixed gates $A$ and $B$ on the boundary is $7$ meters. The distance of the pole from one of the gates is: $8$ metres $8.25$ metres $5$ metres None these
PQRS is a square. SR is a tangent (at point S) to the circle with centre 0 and TR = OS. The ratio of the area of the circle to the area of the square is: $\pi/3$ $11/7$ $3/\pi$ $7/11$