Question
Some toffees were distributed among (x + 5) students
such that each student received 6 toffees. If there had been 10 students more, then toffees received by each student would have been 3 less. Find the value of ‘x’.ÂSolution
According to the question, (x + 5) × 6 = (x + 5 + 10) × 3 Or, 6x + 30 = 3x + 45 Or, 3x = 15 Or, x = 5
A circle has radius r. A square is inscribed inside it. Area of square is 242. Find radius.
- 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 wheel of a car made 300 rotations. How much distance did the car travel if the diameter of the wheel is 28 inches? (1 inch = 2.54cm)
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...
A metal wire when bent in the form of a square encloses an area 1089 cm 2 , if the same wire is bent in the form of a circle, then its area is?
The circumference of a wheel is 39.6 cm. What is the radius of the wheel?
The area of a sector of a circle is 88cm² and the angle of the sector is 60º. Find the radius of the circle.
Find the area of a circle of radius 7 cm. (Take π = 22/7)
From an external point P, a tangent PT is drawn to a circle with centre O. If OP = 17 cm and PT = 15 cm, then the radius of the circle is:
The radius of a circle is 7 cm. Find the area of the sector formed by a central angle of 90°.
Relevant for Exams:
