English
Maharashtra State BoardSSC (English Medium) 10th Standard

Draw the circumcircle of Δ PMT in which PM = 5.4, P = 60°, M = 70°.

Advertisements
Advertisements

Question

Draw the circumcircle of Δ PMT in which PM = 5.4, P = 60°, M = 70°.

Sum
Advertisements

Solution

1. Construct a base PM of length 5.4cm. Draw angles of 60and 70 from points P and M respectively and mark their intersection point as T.

2. Join P-T and M-T.  is the required triangle.
3. Draw perpendicular bisector of PM and MT. Let them intersect at O
4. With centre as O and radius as OM, draw the circumcircle of
shaalaa.com
  Is there an error in this question or solution?
2013-2014 (October)

APPEARS IN

RELATED QUESTIONS

In Fig. 6, find the area of the shaded region, enclosed between two concentric circles of radii 7 cm and 14 cm where ∠AOC = 40°. (use `pi =  22/7`)


The perimeter of a sector of a circle of radius 5.2 cm is 16.4 cm. Find the area of the sector.


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.


An arc of a circle is of length 5π cm and the sector it bounds has an area of 20 π cm2. Find the radius of the circle.


The base of a right – angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle. 


The circumference of a circle is 39.6 cm. Find its area.


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.


Find the area and perimeter of the circle with the following:

Diameter= 35 cm 


The circumference of a garden roller is 280 cm. How many revolutions does it make in moving 490 meters? 


The sum of the radii of two circles is 10.5 cm and the difference of their circumferences is 13. 2 cm. Find the radii of the two circles. 


Each wheel of a car is of diameter 80 cm. How many completer revolutions does each wheel make in 10 minutes when the car is traveling at a speed of 66 km per hour?


The center O of a circle of a radius 1.3 cm is at a distance of 3.8 cm from a given straight line AB. Draw a circle to touch the given straight line AB at a point P so that OP = 4.7 cm and to touch the given circle externally.


In the adjoining figure, the radius is 3.5 cm. Find:
(i) The area of the quarter of the circle correct to one decimal place.
(ii) The perimeter of the quarter of the circle correct to one decimal place. ( Take π = `22/7`)


Find the area and perimeter of the following semicircles: Radius = 1.4cm


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)


The radius of the wheel of a bus is 0.7 m. How many rotations will a wheel complete while traveling a distance of 22 km?


A Rose garden is in the form of circle of radius 63 m. The gardener wants to fence it at the rate of ₹ 150 per metre. Find the cost of fencing?


The area of a circle whose circumference is 22 cm, is ____________.


The radii of the two circles are 19 cm and 9 cm respectively. The radius of the circle which has a circumference equal to the sum of the circumference of two circles 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.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×