Practice Circle Questions and Answers

• The circumference of the two circles is 120 cm and 428 cm respectively. What is the difference between their radii?
• 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?
• Find the area of a circle whose radius is (3/4)ᵗʰ of the side of a square whose area is 1,600 cm². (Use π = 3.14)
• 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?
• If the numerical value of the area of a circle is seven times that of its circumference, determine the diameter.
• 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 area of a rhombus is 1,600 cm², and the lengths of its diagonals are in the ratio 5:4. A circle is constructed with the smaller diagonal as the diamet...
• A rhombus has an area of 2,592 cm² and its diagonals are in the ratio 5:3. A circle is drawn with the shorter diagonal of the rhombus as its diameter. Cal...
• 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)
• Calculate the area of a sector of a circle having a radius of 21 cm, if the angle at the center made by the sector is 60°.
• AB is the diameter of a circle centered at O. A tangent drawn at point C intersects the extension of AB at point D. If ∠CAB = 38°, find the value of ∠...
• Find the length of the direct common tangent of two circles with radii 8 cm and 5 cm respectively, if the distance between their centres is 11 cm.
• In the figure given below, a circle is inscribed in a triangle ABC. If AB = 18 cm, BC = 14 cm and AC = 16 cm, then find the length of YC. ...