Question
Which of the following numbers will completely divide
412 + 413+ 414 + 415 + 416?Solution
412+ 413+ 414 + 415+416 =412(1+41+42+43+44) =412(1+4+16+64+256) =412(85+256) =412(341) According to the option, 341 is divisible by only 11.so the total number is divided by 11.
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...
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?
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?
- 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 area of the sector of a circle with radius 14 cm and central angle 90°.
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)
- 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)
If a wheel covers a distance of 660 m in 30 rotations, then the diameter of the wheel is?
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...
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.