Advertisements
Advertisements
प्रश्न
The circumference of a circle exceeds its diameter by 450 cm. Find the area of the circle.
Advertisements
उत्तर
Let the radius of a circle = r cm
⇒ Circumference of a circle = 2πr cm
Diameter of a circle = 2r cm
Now, Circumference of a circle - Diameter of a circle = 450m
⇒ 2πr - 2r = 450
⇒ 2r(π - 1) = 450
⇒ `2"r"(22/7 - 1)` = 450
⇒ `2"r" xx (15)/(7)` = 450
⇒ r = `(450 xx 7)/(2 xx 15)`
= 105cm
∴ Area of a circle
= πr2
= `(22)/(7) xx 105 xx 105`
= 34650cm2.
APPEARS IN
संबंधित प्रश्न
A car has wheels which are 80 cm in diameter. How many complete revolutions does each wheel make in 10 minutes when the car is travelling at a speed of 66 km per hour ?
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.
The area of a square is the same as the area of a square. Their perimeters are in the ratio
The circumference of a circle is equal to the sum of the circumference of two circles having diameters 36 cm and 20 cm. The radius of the new circle is
The diameter of a cycle wheel is `4 5/11` cm. How many revolution will it make in moving 6.3 km ?
Find the area and perimeter of the following sector :
Radius= 6 cm, angle at the centre is 70°
The radius of two circles are 20 cm and 13 cm. Find the difference between their circumferences. (Take π =`22/7`)
The area of a circle whose circumference is 22 cm, is ____________.
If the circumference of a circle is 352 metres, then its area in square metres is ____________.
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.
