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Two concentric circles have radii 5 cm and 3 cm. Find the length of the chord of the larger circle which touches the smaller circle.
If an equilateral triangle is inscribed in a circle of radius r, what is the side of the triangle?
The area of a circle is decreased by 19% if its radius is decreased by what percent?
Find the area of the ring between two concentric circles whose circumferences are 88 cm and 66 cm.
If the length of a transverse common tangent to two circles is 8 cm and the radii are 5 cm and 1 cm, find the distance between centers.
A square is circumscribed about a circle. What is the ratio of the area of the square to the area of the circle?
In a cyclic quadrilateral, if the ratio of three consecutive angles is 1:2:3, find the fourth angle.
The area of a circle that can be inscribed in a square of side 6 cm is:
If the circumference of a circle is 4*pi*r, what is its radius?
Find the number of revolutions made by a wheel of diameter 1 m in covering a distance of 314 m. (Take pi = 3.14)
If the arc length of a circle is 1/4 of its circumference, what is the angle subtended at the center?
In the figure, O is the center. AB is a diameter. CD is a chord equal to the radius. AC and BD intersect at E. Find angle AEB.
A square of side 8 cm is inscribed in a circle. Find the area of the circle.
What is the perimeter of a sector of a circle of radius 7 cm and angle 90 degrees?
If two tangents inclined at an angle of 60 degrees are drawn to a circle of radius 3 cm, then the length of each tangent is:
If the area of a sector is 1/12 of the area of the circle, find the angle of the sector.
How many points of intersection can a circle and a triangle have at most?
If a chord of length 16 cm is 6 cm away from the center, what is the length of a chord 8 cm away from the center?
What is the radius of the circle passing through the vertices of a right-angled triangle with sides 5, 12, 13?