Advertisements
Advertisements
Question
Diagonal of a square is 20 cm. Find the length and perimeter of the square.
Advertisements
Solution
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
RELATED QUESTIONS
In Fig. 3, APB and AQO are semicircles, and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region [Use `pi=22/7`]
In the given figure, O is the centre of the circle with AC = 24 cm, AB = 7 cm and ∠BOD = 90°. Find the area of the shaded region.
The parallel sides of a trapezium are 12 cm and 9 cm and the distance between them is 8 cm. Find the area of the trapezium.
The radius of a sector of a circle is 7 cm. If the measure of the arc of the sector is 210°, find the area of the sector in case.
The wheel of a motorcycle is of radius 35 cm. How many revolutions per minute must the wheel make so as to keep a speed of 66 km/hr ?
In a circle of radius 10.5 cm, the minor arc is one-fifth of the major arc. Find the area of the sector corresponding to the major arc.
The side of a square is 10 cm. Find the area of the inscribed circle. [Take π = 3.14.]
Three equal circles, each of radius 6 cm, touch one another as shown in the figure. Find the area of enclosed between them. [Take π = 3.14 and `sqrt(3) = 1.73`.]
The area of a circle is 38.5 cm2. The circumference of the circle is ______.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 15 cm , radius = 8 cm
Sand from a cylindrical bucket 32 cm in height and 18 cm in radius is poured onto the ground making a conical heap 24 cm high. Find the radius of the conical heap.
Find the area and perimeter of the circles with following: Radius = 2.8cm
The diameter of two circles are 28 cm and 24 cm. Find the circumference of the circle having its area equal to sum of the areas of the two circles.
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.
Find the circumference of the circles whose radii are given below.
49 cm
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 ____________.
Circumferences of two circles are equal. Is it necessary that their areas be equal? Why?
