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]
Find the circumference of a circle whose area is 301.84 cm2.
The area of a minor sector of a circle is 3.85 cm2 and the measure of its central angle is 36°. Find the radius of the circle.
Find the area and perimeter of the circle with the following :
Radius= 2.8 cm
The diameter of a circle is 5.6 cm. Find its circumference.
The circumference of a circle is equal to the perimeter of a square. The area of the square is 484 sq.m. Find the area of the circle.
The cost of fencing a circular race course at the rate of ₹ 8 per metre is ₹ 2112. Find the diameter of the race course
The perimeter of circular and square fields is equal. If the area of the square field is 484 m2 then the diameter of the circular field is ____________.
A race track is in the form of a circular ring whose outer and inner circumferences are 396 m and 352 m respectively. The width of the track is ____________.
Circumference ‘C’ of a circle is equal to 2π × ______.
