Advertisements
Advertisements
प्रश्न
Construct a triangle PQR with QR = 5.5 cm, ∠Q = 60° and angle R = 45°. Construct the circumcircle cif the triangle PQR.
Advertisements
उत्तर
Steps of Construction:
(i) Draw a ∆PQR in which QR = 5.5 cm, ∠Q = 60° and ∠R = 45°.
(ii) Draw the arc bisector of PQ and PR which intersect at O.
(iii) Taking O as center and radius OP or OQ or OR draw a circle.
This circle will pass through vertices P, Q, and R.
APPEARS IN
संबंधित प्रश्न
Two circles touch externally at a point P. from a point T on the tangent at P, tangents TQ and TR are drawn to the circles with points of contact Q and E respectively. Prove that TQ = TR.
true or false
A chord of a circle, which is twice as long is its radius is a diameter of the circle.
In the given figure, O is the centre of a circle. PT and PQ are tangents to the circle from an external point P. If ∠TPQ = 70°, find ∠TRQ.
In the given figure, BC is a tangent to the circle with centre O. OE bisects AP. Prove that ΔAEO ∼ Δ ABC.
Choose correct alternative answer and fill in the blank.
Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence the length of the chord is .........
The circle which passes through all the vertices of a triangle is called ______.
ABC is a triangle with AB = 10 cm, BC = 8 cm and AC = 6 cm (not drawn to scale). Three circles are drawn touching each other with the vertices as their centres. Find the radii of the three circles.
State, if the following statement is true or false:
If the end points A and B of the line segment lie on the circumference of a circle, AB is a diameter.
Find the length of the chord AC where AB and CD are the two diameters perpendicular to each other of a circle with radius `4sqrt(2)` cm and also find ∠OAC and ∠OCA
From the figure, identify the centre of the circle.
