Advertisements
Advertisements
Question
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.
Solution
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
RELATED QUESTIONS
The radius of a circle is 7 cm. find the circumference of the circle.
A race track is in the form of a ring whose inner circumference is 352 m, and the outer circumference is 396 m. Find the width of the track.
An elastic belt is placed round the rim of a pulley of radius 5 cm. One point on the belt is pulled directly away from the centre O of the pulley until it is at P, 10 cm from O. Find the length
of the belt that is in contact with the rim of the pulley. Also, find the shaded area.
The radii of two circles are 8 cm and 6 cm respectively. Find the radius of the circle having area equal to the sum of the areas of the two circles.
A steel wire when bent is the form of square encloses an area of 12 cm2. If the same wire is bent in form of circle. Find the area of circle.
The minute hand of a clock is √21 𝑐𝑚 long. Find area described by the minute hand on the face of clock between 7 am and 7:05 am
Diagonal of a square is 20 cm. Find the length and perimeter of the square.
What is the perimeter of a square which circumscribes a circle of radius a cm?
The circumferences of two circles are in the ratio 2: 3. What is the ratio between their areas?
The wheels of a car make 2500 revolutions in covering a distance of 4.95 km. Find the diameter of a wheel.
In the given figure, ABCD is a trapezium of area 24.5 cm2 , If AD || BC, ∠DAB = 90°, AD = 10 cm, BC = 4 cm and ABE is quadrant of a circle, then find the area of the shaded region.
Find the area and perimeter of the circle with the following :
Radius= 10.5 cm
A hollow metallic cylindrical tube has an internal radius of 3.5 cm and height 21 cm. The thickness of the metal tube is 0.5 cm. The tube is melted and cast into a right circular cone of height 7 cm. Find the radius of the cone, correct to one decimal place.
Find the area of a circular field that has a circumference of 396m.
The diameter of a wheel is 1.4m. How many revolutions does make in moving a distance of 2.2km?
The diameter of a wheel is 1.26 m. The distance traveled in 500 revolutions is ____________.
A circular pond is 17.5 m is of diameter. It is surrounded by a 2 m wide path. Find the cost of constructing the path at the rate of Rs 25 per m2.
Find the area of the shaded region given in figure
Area of circular garden with diameter 8 m is ______.
A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in the below figure:
Does the perimeter change? If it does change, by how much does it increase or decrease?
