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
In Figure , two concentric circles with centre O, have radii 21cm and 42 cm. If ∠ AOB = 60°, find the area of the shaded region. [use π=22/7]
The wheels of a car are of diameter 80 cm each. How many complete revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour? [Use Π = 22/7]
Find the area of circle whose circumference is 44 cm.
A steel wire when bent is the form of square encloses an area of 12 cm2. If the same wire is bent in form of circle. Find the area of circle.
A sheet of paper is in the form of rectangle ABCD in which AB = 40cm and AD = 28 cm. A semicircular portion with BC as diameter is cut off. Find the area of remaining paper.
A plot is in the form of rectangle ABCD having semi-circle on BC. If AB = 60m and BC = 28m, find the area of plot.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 12 cm , radius = 5 cm
A 4.2 m wide road surrounds a circular plot whose circumference is 176 m. Find the cost of paving the road at Rs 75 m 2.
A circular racing track has inner circumference 528 m and outer circumference 616 m. Find the width of the track.
Find the radius and area of the circle which has circumference equal to the sum of circumferences of the two circles of radii 3 cm and 4 cm respectively.
