Advertisements
Advertisements
Question
Construct the circumcircle of the ABC when BC = 6 cm, B = 55° and C = 70°.
Solution
Steps of construction:
(i) Draw a line segment BC = 6 cm.
(ii) At point B, make ∠ CBA = 55°, and at point C, make an angle ∠ BCA = 70° with the help of a protractor. Join AB and AC.
(iii) Draw the perpendicular bisectors of sides AB and AC. Let them intersects at O.
(iv) With O as centre and radius OA, draw a circle which passes through the point A, B and C. This is the required circumcircle of ΔABC.
APPEARS IN
RELATED QUESTIONS
In Fig. there are shown sectors of two concentric circles of radii 7 cm and 3.5 cm. Find the area of the shaded region. Use π = `(\frac { 22 }{ 7 }).`
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.
Saima wants to put a lace on the edge of a circular table cover of diameter 1.5 m. Find the length of the lace required and also find its cost if one meter of the lace costs ₹ 15. (Take π = 3.14)
A rectangular piece is 20m long and 15m wide from its four corners, quadrants of 3.5m radius have been cut. Find the area of remaining part.
Choose the correct alternative answer for the following question.
A cone was melted and cast into a cylinder of the same radius as that of the base of the cone. If the height of the cylinder is 5 cm, find the height of the cone.
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.
OACB is a quadrant of a circle with centre O and its radius is 3.5 cm. If OD = 2 cm. find the area of
- quadrant OACB
- the shaded region.
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?
A wheel has a diameter of 84 cm. Find how many completer revolutions must it make to cover 3.168 km.
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.
Complete the table below.
Radius (r) | Diameter (d) | Circumference (c) |
...... | 28 cm | ...... |
The diameter of a wheel is 1.4m. How many revolutions does make in moving a distance of 2.2km?
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`)
Diameters of different circles are given below. Find their circumference (Take π = `22/7`)
d = 56 m
Find the radius of a circle whose circumference is equal to the sum of the circumferences of two circles of radii 15 cm and 18 cm.
Find the area of the shaded region given in figure
Length of tape required to cover the edges of a semicircular disc of radius 10 cm 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?
A photograph of Billiard/Snooker table has dimensions as `1/10`th of its actual size as shown in the given figure:
The portion excluding six holes each of diameter 0.5 cm needs to be polished at rate of ₹ 200 per m2. Find the cost of polishing.