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Area Related To Circles

The radius of a circle whose circumference is equal to the sum of the circum- ferences of the two circles of diameters 36cm and 20 cm is

(A) 56 cm (B) 42 cm (C) 28 cm (D) 16 cm

08/11/2024

Mathematics

10th

Area Related To Circles

The area of the circle that can be inscribed in a square of side 6 cm is

(A) 36 π cm2  (B) 18 π cm2 (C) 12 π cm2  (D) 9 π cm2

08/11/2024

Mathematics

10th

Area Related To Circles

It is proposed to build a single circular park equal in area to the sum of areas of two circular parks of diameters 16 m and 12 m in a locality. The radius of the new park would be

(A) 10 m (B) 15 m (C) 20 m (D) 24 m

08/11/2024

Mathematics

10th

Area Related To Circles

If  the  perimeter  of  a  circle  is  equal  to  that  of  a  square,  then  the  ratio  of  their areas  is

(A) 22 : 7 (B) 14 : 11 (C) 7 : 22 (D) 11: 14

08/11/2024

Mathematics

10th

Area Related To Circles

If the circumference of a circle and the perimeter of a square are equal, then 

(A) Area of the circle = Area of the square

(B) Area of the circle > Area of the square

(C) Area of the circle < Area of the square

(D) Nothing definite can be said about the relation between the  areas of the circle and square.

08/11/2024

Mathematics

10th

Area Related To Circles

 If the sum of the circumferences of two circles with radii R1 and R2 is equal to the

(A)  R1 + R2 = R  (B) R1 + R2 > R

(C)  R1 + R2 < R (D) Nothing definite can be said about the relation among R1, R2 and R.

08/11/2024

Mathematics

10th

Area Related To Circles

If the area of a circle is 154 cm2, then its perimeter is 

(A) 11 cm (B) 22 cm (C) 44 cm (D) 55 cm

08/11/2024

Mathematics

10th

Construction

Draw a triangle ABC in which AB = 4 cm, BC = 6 cm and AC = 9 cm. Construct a triangle similar to ∆ABC with scale factor 3/2 . Justify the construction. Are   the two triangles congruent? Note that all the three angles and two sides of the two triangles are equal.

08/11/2024

Mathematics

10th

Construction

Draw  a  circle  of  radius  4  cm.  Construct  a  pair  of  tangents  to  it,  the  angle between which is 60º. Also justify the construction. Measure the distance be- tween the centre of the circle and the point of intersection of tangents.

08/11/2024

Mathematics

10th

Construction

Draw  a  triangle ABC  in  which AB  =  5  cm,  BC  =  6  cm  and  ∠ ABC = 60º . Construct  a  triangle  similar  to  ∆ ABC with  scale  factor 5/7 .  Justify  the construction.

08/11/2024

Mathematics

10th