Advertisements
Advertisements
प्रश्न
A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the following figure:
Does the perimeter change? If it does change, by how much does it increase or decrease?
Advertisements
उत्तर
Radius of the circle = 16 cm
∴ Perimeter of the circle = 2πr = 2 × 16 × π = 32π cm
Now, the circle is rearranged into another shape such that A = B = C = D.
Perimeter of above shape = 27πr + 2r = (32π + 32) cm
Yes, the perimeter increases by (32π + 32 – 32π) = 32 cm
APPEARS IN
संबंधित प्रश्न
The circumference of a circle exceeds diameter by 16.8 cm. Find the circumference of
circle.
The minute hand of a clock is √21 𝑐𝑚 long. Find area described by the minute hand on the face of clock between 7 am and 7:05 am
Below fig shows a sector of a circle, centre O. containing an angle 𝜃°. Prove that
Area of shaded region is`r^2/2(tantheta −(pitheta)/180)`
In the given figure, O is the centre of the sector. \[\angle\]ROQ = \[\angle\]MON = 60° . OR = 7 cm, and OM = 21 cm. Find the lengths of arc RXQ and arc MYN. (\[\pi = \frac{22}{7}\])
A conical tent with a capacity of 600 m3 stands on a circular base of area 160 m2 Find in m2 the area of the canvas.
The center O of a circle of a radius 1.3 cm is at a distance of 3.8 cm from a given straight line AB. Draw a circle to touch the given straight line AB at a point P so that OP = 4.7 cm and to touch the given circle externally.
The circumference o a garden roller is 280cm. How many revolutions does it make in moving 490m?
A wire bent in the form of an equilateral triangle has an area of `121sqrt(3)"cm"^2`. If the same wire is bent into the form of a circle, find the area enclosed by the wire.
The cost of fencing a circular field at the rate of Rs.250 per metre is Rs.55000. The field is to be ploughing at the rate of Rs.15 per m2. Find the cost of ploughing the field.
The diameters of front and rear wheels of a tractor are 80 cm and 2 m respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.
