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Practice Circle Questions and Answers

A circular racing track has been developed in a field. If the difference between the outer circumference and the inner circumference of the racing track is...
Two circles of radii 15 cm and 10 cm touch each other externally at a point A. PQ is the direct common tangent of those two circles of centers O ₁ and O ...
The circumference of a circle is 44 cm. What is its radius? (Use π = 22/7)
If the radius of a circle is 15 cm, then which of the following is true regarding the length of the chord (L)?
Two chords of a circle 'PQ' and 'RS' crosses each other at an exterior point 'O'. Determine the length of the chord 'RS' if the chord PQ is 36 cm long, the...
A sector of a circle has a central angle of 120° and a radius of 10 cm. Find the area of the sector.
Two tangents are drawn from an external point P to a circle with center O and radius r. If the distance between P and O is 2r, find the angle subtended by ...
A square PQRS is inscribed inside a circle. Another circle is inscribed within the square PQRS, and this process repeats infinitely. If the radius of the i...
The area of a sector of a circle is 144π cm², and the radius of the circle is 24 cm. Find the angle of the sector in radians.
Find the area of the sector of a circle with radius 14 cm and central angle 90°.
In a circle, the length of a chord is 20 cm, and the perpendicular from the center to the chord divides it into two equal parts. If the distance from the c...
A sector of a circle has a central angle of 60°. If the radius of the circle is 14 cm, what is the area of the sector?
A semicircle has a radius of 7 cm. What is the perimeter of the semicircle?
In the given diagram, point 'O' represents the center of a circle, while AB and DE are two distinct chords within the circle. The line segment OC is perpen...
A sector of a circle has a central angle of 90°. If the radius of the circle is 10 cm, what is the area of the sector?
A square has an area of 2,500 cm². Find the area of a circle whose radius is (2/5)ᵗʰ of the length of the square’s side. (Take π = 3.14)
The area of a square is 3,600 cm². Find the area of a circle whose radius is (2/3)ᵗʰ of the side of the square. (Use π = 3.14)
A circular sector has a radius of 14 cm and an area of 154 cm². What is the angle formed at the center by the arc? (Take π = 22/7)
The area of a circle is nine times its circumference (numerically). What is the diameter of the circle?
The numerical value of the area of a circular park is ten times the numerical value of its perimeter. Find the diameter of the park.
In a circular field, the area is six times its circumference in terms of numerical value. Calculate the diameter of the field.
A circle has its area eleven times greater than its circumference in numeric value. Find the circle’s diameter.
A rhombus has diagonals in the ratio 4:3 and an area of 2,400 cm². A circle is drawn using the smaller diagonal of the rhombus as its diameter. What is th...
The diagonals of a rhombus are in the ratio 7:5, and its area is 3,500 cm². A circle is formed taking the smaller diagonal as the diameter. Find the diffe...
The circumference of the circle is 154 cm while the length of the rectangle is 15 cm more than the radius of the circle. Find the perimeter of the rectangl...
The circumference of a circle is 176 cm while the length of the rectangle is 9 cm more than the radius of the circle. Find the perimeter of the rectangle i...
The circumference of the circle is 198 cm while the length of the rectangle is 12 cm more than the radius of the circle. Find the perimeter of the rectangl...
The circumference of the circle is 110 cm while the length of the rectangle is 6 cm more than the radius of the circle. Find the perimeter of the rectangle...
The circumference of the circle is 88 cm while the length of the rectangle is 5 cm more than the radius of the circle. Find the perimeter of the rectangle ...
What is the area of a circle whose radius is equal to the length of a cube’s edge, if the cube's total surface area is 1,944 cm²? (Take π = 3)
Calculate the area of a circle whose radius is (7/8)ᵗʰ of the side of a square whose area measures 1,600 cm². (Take π = 3.14)

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