Advertisements
Advertisements
प्रश्न
Construct a circle, inscribing an equilateral triangle with side 5.6 cm.
Advertisements
उत्तर
Steps of construction:
- Draw a line segment BC = 5.6 cm
- With centers B and C, draw two arcs of 5.6 cm radius each which intersect each other at A.
- Join AB and AC.
- Draw angle bisectors of ∠B and ∠C intersecting each other at O.
- From O, draw OL ⊥ BC.
- Now with centre O and radius OL, draw a circle which will touch the sides of ΔABC.
This is the required circle.
APPEARS IN
संबंधित प्रश्न
Draw two tangents to a circle of radius 3.5 cm from a point P at a distance of 6.2 cm from its centre.
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.
Draw a circle of radius 4 cm and take a point Pon its circumference. Construct a tangent to the circle at P.
Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.
Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
Draw a circle at a radius of 4 cm. Take a point on it. Without using the centre at the circle, draw a tangent to the circle at point P.
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.
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.
