Question
How many times are the hour and the minute hands of a
clock at a right angle in a period of two days?Solution
The hour and minute hands of a clock form a right angle (90°) twice every hour: Once when they are 90° apart clockwise Once when they are 90° apart counter-clockwise
In 1 hour ⇒ 2 right angles In 12 hours ⇒ 12×2=24 times In 24 hours (1 day) ⇒ 24×2=48 times In 2 days ⇒ 48×2=96 times
- A circle has its area eleven times greater than its circumference in numeric value. Find the circle’s diameter.
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 recta...
- Find the area of a circle whose radius is (4/5)ᵗʰ of the side of a square whose area is 2,025 cm². (Use 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°.
Two chords AB and CD of a circle intersect at E such that AE = 3.4 cm, BE = 4.2 cm and CE = 2.6 cm. What is the approximate length of DE?
- 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...
If a wheel covers a distance of 660 m in 30 rotations, then the diameter of the wheel is?
From an external point P, a tangent PT is drawn to a circle of radius 9 cm. If OP = 15 cm, then PT is:
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:
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.