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GradeConstruction of Circles

TopicLatest Questions

How many circles can be drawn through three noncollinear points

(a) only one

(b) two

(c) three

(d) infinite

(a) only one

(b) two

(c) three

(d) infinite

Draw any circle and mark an arc.

With $\overline{PQ}$ of length $6.1$ cm as diameter, draw a circle.

Use ruler and compass only for the following question. All construction lines and arcs must be clearly shown.

Construct a $\vartriangle ABC$ in which BC = 6.5 cm,$\angle ABC=60{}^\circ $, AB = 5 cm. Construct a locus of points ${{l}_{1}}$ at a distance of 3.5 cm from A. Also, construct a locus of points ${{l}_{2}}$ which is equidistant from AC and BC. Let ${{l}_{1}}$ intersect ${{l}_{2}}$ in two points X and Y. Measure XY.

Construct a $\vartriangle ABC$ in which BC = 6.5 cm,$\angle ABC=60{}^\circ $, AB = 5 cm. Construct a locus of points ${{l}_{1}}$ at a distance of 3.5 cm from A. Also, construct a locus of points ${{l}_{2}}$ which is equidistant from AC and BC. Let ${{l}_{1}}$ intersect ${{l}_{2}}$ in two points X and Y. Measure XY.

Draw a circle of diameter 7 cm and construct tangents at the ends of the diameter.

With $ {O_1} $ and $ {O_2} $ as centres draw two circles of the same radii $ 3\;cm $ and with the distance between the two centres equal to $ 5\;cm$.

Construct a tangent to a circle of radius $4cm$ from a point on the concentric circle of radius $6cm$ and measure its length and also verify the obtained measurements by actual calculation.

What is the instrument to draw a circle?

A. Ruler

B. Protractor

C. Divider

D. Compasses

A. Ruler

B. Protractor

C. Divider

D. Compasses

Draw a circle having radius $ 3cm $ . Draw a chord XY $ = 5cm. $ Draw tangents at point X and Y without using centre.

Draw a circle of radius $ 4cm $ . Draw any two of its chords. Construct the perpendicular bisector of these two chords. Where do they meet?

Draw a circle with center at point Draw its chord AB and CD such that AB is not parallel to CD. Draw the perpendicular bisector of AB and CD. At what point do they intersect?

Draw $\overline {PQ} $ where PQ = 10cm. Draw circle $ \odot $ (P, 4) and $ \odot $ (Q, 3)

Draw a tangent to each circle from the Centre of the other circle. Write points of construction.

Draw a tangent to each circle from the Centre of the other circle. Write points of construction.

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