Advertisements
Advertisements
प्रश्न
Diagonal of a square is 20 cm. Find the length and perimeter of the square.
Advertisements
उत्तर
Diagonal of square = 20 cm.
Let side of square = x
∴ x2 + x2 = 202 ..................(By Pythagoras theorem)
∴ 2x2 = 400
∴ x2 = 200
∴ x = `10sqrt2 `cm.
Perimeter of square = 4 × `10sqrt2` =` 40sqrt2`
(i) Side of square =` 10sqrt2` cm.
(ii) Perimeter of square = `40sqrt2` cm.
APPEARS IN
संबंधित प्रश्न
The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in one minute. (Use π = 22/7)
A doorway is decorated as shown in the figure. There are four semi-circles. BC, the diameter of the larger semi-circle is of length 84 cm. Centres of the three equal semicircles lie on BC. ABC is an isosceles triangle with AB = AC. If BO = OC, find the area of the shaded region. (Take `pi = 22/7`)
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.
Find the area of the rhombus, the length of whose diagonals are 30 cm and 16 cm. Also, find the perimeter of the rhombus.
Find the area of the sector of a circle having radius 6 cm and of angle 30°. [Take π = 3.14]
The circumference of a circle is 39.6 cm. Find its area.
The length of a chain used as the boundary of a semicircular park is 108 m. Find the area of the park.
The perimeter of a circular field is 242 m. The area of the field is
Find the area of the circle if its circumfence is 88 cm.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 16 cm , diameter = 24 cm
Find the circumference of the circle whose area is 25 times the area of the circle with radius 7 cm.
Find the area and perimeter of the following sector :
Diameter = 42 cm, angle at the centre is 100·.
An express train is running between two stations with a uniform speed. If the diameter of each wheel of the train is 42 cm and each wheel makes 1200 revolutions per minute, find the speed of the train.
Find the radius of the circle whose circumference is equal to the sum of the circumferences of the circles having radius 15 cm and 8 cm.
Find the area of a circle whose circumference is 22 cm.
Complete the table below.
| Radius (r) | Diameter (d) | Circumference (c) |
| 7 cm | ...... | ...... |
Find the circumference of the circles whose radii are given below.
91 mm
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?
