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प्रश्न
Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.
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उत्तर
Steps of construction:
- Draw AB = 6 cm.
- At A, draw 120° and mark AC = 5 cm. Join BC.
- Draw perpendicular bisectors of AB and AC; they meet at O.
- Measure OC (radius).
- Draw a circle with centre O and radius OC through A, B, and C.
- Radius OC = 5.5 cm.
संबंधित प्रश्न
Draw two concentric circles of radii 3 cm and 5 cm. Construct a tangent to smaller circle from a point on the larger circle. Also measure its length.
In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD = 7.8 cm, PD = 5 cm, PB = 4 cm. Find:
1) AB.
2) the length of tangent PT.
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.
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- What is the point O called?
- OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ?
- What is the relation between angle ACO and angle BCO?
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Draw a circle of radius 32 cm. Draw a tangent to the circle making an angle 30° with a line passing through the centre.
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A pair of tangents can be constructed to a circle inclined at an angle of 170°.
