Practice Circle Questions and Answers

• 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...
• A rhombus has an area of 1,800 cm², and its diagonals are in the ratio 6:5. A circle is drawn using the smaller diagonal as its diameter. What is the diff...
• 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. ...
• Determine the diameter of the incircle of a triangle whose area is 60 cm² and the semi-perimeter is 20 cm.
• The circumference of a wheel is 39.6 cm. What is the radius of the wheel?
• The circumference of a circle equals the perimeter of a square of side 14. Find area of circle.
• A chord is 24 cm long and distance from center is 7 cm. Find radius.
• The radius of a circle is 7 cm. Find the area of the sector formed by a central angle of 90°.
• A circle has radius r. A square is inscribed inside it. Area of square is 242. Find radius.
• From an external point P, two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. The angle between the tangents ∠APB is 60°. Find t...
• In a circle of radius 13 cm, a chord is 5 cm from the center. Find chord length.
• From an external point P, two tangents PA and PB are drawn to a circle with center O. If OP = 13 cm and the radius of the circle is 5 cm, find the length o...
• The circumference of a circular park is 44 m. What is its radius?  (Take pi = 22/7)
• A circle has radius 13 cm. A chord is 10 cm long. What is the perpendicular distance from the centre to the chord?
• From an external point P, two tangents PA and PB are drawn to a circle with centre O and radius 5 cm. The angle ∠APB is 60°. Find OP and PA.
• In a circle of radius 10 cm, a chord AB has length 10√3 cm. Find: (i) the distance of the chord from the centre, and (ii) the measure of ∠AOB, where O ...
• In a circle of radius 5 cm, a point P lies outside the circle at a distance 13 cm from the centre O. Tangents PA and PB are drawn from P to the circle, tou...
• In a circle of radius 7 cm, the area of a sector is (154/3) cm². Find the angle of the sector at the centre.
• In a circle of radius 13 cm, a chord has length 10 cm. Find: (a) the distance of the chord from the centre, (b) the angle subtended by the chord at the cen...
• The diameter of a circular field is 28 m. Find its circumference and area. (Take π = 22/7)
• In a circle of radius 7 cm, the area of a sector is 77 cm². Find the angle of the sector and the length of its arc. (Take π = 22/7)
• Find the area of a circle of radius 7 cm. (Take π = 22/7)
• In a circle of radius 13 cm, a chord is of length 10 cm. Find the distance of the chord from the centre.
• In a circle of radius 10 cm, a chord has length 16 cm. Find the distance of the chord from the centre of the circle.