Advertisements
Advertisements
प्रश्न
Construct an angle PQR = 45°. Mark a point S on QR such that QS = 4.5 cm. Construct a circle to touch PQ at Q and also to pass through S.
उत्तर
Steps of constructions:
(i) Draw ∠ PQX = 90°
(ii) Bisects ∠ PQX and draw ∠ PQR = 45°
(iii) Cut off QS = 4.5 cm from QR.
(iv) r bisector of QS and it intersects of QX at O.
(v) With O as centre and radius = OQ ( or OS draw the required circle).
APPEARS IN
संबंधित प्रश्न
The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)
The perimeter of a rhombus is 60 cm. If one of its diagonal us 18 cm long, find
(i) the length of the other diagonal, and
(ii) the area of the rhombus.
A horse is placed for grazing inside a rectangular field 70 m by 52 m. It is tethered to one corner by a rope 21 m long. On how much area can it graze? How much area is left ungrazed?
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 12 cm , radius = 5 cm
The area of a circular ring enclosed between two concentric circles is 88 cm 2. Find the radii of the two circles, if their difference is 1 cm.
Find the curved surface area , the total surface area and the volume of a cone if its :
Height = 8 cm , diameter = 12 cm
Find the area and perimeter of the following sector :
Diameter = 42 cm, angle at the centre is 100·.
The base circumferences of two cones are the same. If their slant heights are in the ratio 5 : 4, find the ratio of their curved surface areas.
Find the volume and the surface area of the spheres in the following :
Radius = 7 cm
The diameter of a circular field is 56 m. Find its circumference and cost of fencing it at the rate of ₹80 per m. (Take π =`22/7`)
Find the diameter of a circle whose circumference is equal to the sum of circumference of circles with radius 10 cm, 12 cm, and 18 cm.
Using a ruler and compasses only:
(i) Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ ABC = 120°.
(ii) In the same diagram, draw a circle with BC as diameter. Find a point P on the circumference of the circle which is equidistant from AB and BC.
(iii) Measure ∠ BCP.
In the adjoining figure, the crescent is formed by two circles which touch at the point A. O is the centre of bigger circle. If CB = 9 cm and DE = 5 cm, find the area of the shaded portion.
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
A cart wheel makes 9 revolutions per second. If the diameter of the wheel is 42cm, find its speed in km per hour. (Answer correct to the nearest km)
Find the perimeter of the given shape (Take π = `22/7`).
Sudhanshu divides a circular disc of radius 7 cm in two equal parts. What is the perimeter of each semicircular shape disc? (Use π = `22/7`)
The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is ____________.
A wire is bent to form a square of side 22 cm. If the wire is rebent to form a circle, its radius is ______.
Ratio of the circumference of a circle to its diameter is denoted by symbol ______.
