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Harmanpreet

May 3, 2014



Rita

Feb 8, 2015

#### Find the area of a circle circumscribing an equilateral triangle of side 15 cm.



Devanshi Kulkarni

Jan 2, 2015

#### The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in 15 minutes.



Given, radius of the minutes hand= 14cm
In 15 minutes, the minutes hand of the clock rotates by 90°.
∴ Area cove...

Devanshi Kulkarni

Jan 2, 2015

#### Calculate the total length of the metal wire required to make a set of ear-rings.



Sol:
Length of the wire in the shape of smaller arc = perimeter of the semicircle with diamter of 14 mm
= 1/2 [ 2 x 22/7 x 7]
= 22 mm
Length of the wire in the shape of longer arc = ...

Chayan Mukherjee

Apr 2, 2014

#### 1.       A car takes one hour to cover 47.52 km. If the diameter of its wheels is 84 cm, find the number             of revolutions made by a wheel in one second.2.       The minute hand of a clock traces an area 51⅓ cm2 in 20 minutes. Find the length of the minute           hand.3.       A thin wire 66 m long is bent in the form of a circle and kept on the ground. Find the area of the             ground enclosed by the wire.4.       A piece of wire when bent to form of a circle will have a radius of 84 cm. if the wire is bent to                 form a square, what would be the length of a side of the square.5.       A path of uniform width encloses a circular field. The external and the internal perimeters of the             path are 500 m and 300 m.  Find the width of the path.6.       A circular pond of diameter 40 m is surrounded by 5 m broad pathway. Find the area of the path.7.       A horse is tethered at the corner of a rectangular field by a rope 7 m long. Find the largest area             of the field in which the horse can graze.8.       From the four corners of a square paper of side 24 cm, quarter circles with centres at the                     vertices of the square are cut off. If the radius of each of the quarter is 7 cm, find the area of the             paper left.9.       From the three corners of a triangular paper, each side of which is 2k cm long, sectors of circles           of the radius k cm are cur off with centre at vertices of the triangle. What portion of the paper is             left?10.       A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77             cm.  Given that the bucket ascends in 1 minutes 28 seconds with a uniform speed 1.1 m/s,                 calculate the number of complete revolutions the wheels makes in raising the bucket. ( Take π             = 22/7)



Sol :
Post each question individually to get quick answer.

Dec 12, 2014

#### what is the minimum area of a right-angled triangle whose inradius is 1 unit?



Devanshi Kulkarni

Jan 5, 2015

#### Find the area of the shaded region.



Sol:
= 2[1/4 x 22/7 x 7 x 7] - [7 x 7]
= 77 - 49
= 28

To...

Devanshi Kulkarni

Jan 2, 2015

#### Prove that i) ∠CED=3∠CBD ii) CD=DA



Sol:
(i) Let ∠CBD = x.
∠COD = 2x [Angle made by arc at the centre is twice the angle made by it at any point on the remaining part of the circle.]
∠OCD = 2x [Alternate ang...

Devanshi Kulkarni

Jan 2, 2015

#### In the figure there are 5 squares each of side 2 cm.  (i) Find the radius of the circle. (ii) Find the area of the shaded region ( Take π=3.14)



Please draw the figure and post it.



Harmanpreet

May 3, 2014



Rita

Feb 8, 2015

#### Find the area of a circle circumscribing an equilateral triangle of side 15 cm.



Devanshi Kulkarni

Jan 2, 2015

#### The length of minute hand of a clock is 14 cm. Find the area swept by the minute hand in 15 minutes.



Given, radius of the minutes hand= 14cm
In 15 minutes, the minutes hand of the clock rotates by 90°.
∴ Area cove...

Devanshi Kulkarni

Jan 2, 2015

#### Calculate the total length of the metal wire required to make a set of ear-rings.



Sol:
Length of the wire in the shape of smaller arc = perimeter of the semicircle with diamter of 14 mm
= 1/2 [ 2 x 22/7 x 7]
= 22 mm
Length of the wire in the shape of longer arc = ...

Chayan Mukherjee

Apr 2, 2014

#### 1.       A car takes one hour to cover 47.52 km. If the diameter of its wheels is 84 cm, find the number             of revolutions made by a wheel in one second.2.       The minute hand of a clock traces an area 51⅓ cm2 in 20 minutes. Find the length of the minute           hand.3.       A thin wire 66 m long is bent in the form of a circle and kept on the ground. Find the area of the             ground enclosed by the wire.4.       A piece of wire when bent to form of a circle will have a radius of 84 cm. if the wire is bent to                 form a square, what would be the length of a side of the square.5.       A path of uniform width encloses a circular field. The external and the internal perimeters of the             path are 500 m and 300 m.  Find the width of the path.6.       A circular pond of diameter 40 m is surrounded by 5 m broad pathway. Find the area of the path.7.       A horse is tethered at the corner of a rectangular field by a rope 7 m long. Find the largest area             of the field in which the horse can graze.8.       From the four corners of a square paper of side 24 cm, quarter circles with centres at the                     vertices of the square are cut off. If the radius of each of the quarter is 7 cm, find the area of the             paper left.9.       From the three corners of a triangular paper, each side of which is 2k cm long, sectors of circles           of the radius k cm are cur off with centre at vertices of the triangle. What portion of the paper is             left?10.       A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77             cm.  Given that the bucket ascends in 1 minutes 28 seconds with a uniform speed 1.1 m/s,                 calculate the number of complete revolutions the wheels makes in raising the bucket. ( Take π             = 22/7)



Sol :
Post each question individually to get quick answer.

Dec 12, 2014

#### what is the minimum area of a right-angled triangle whose inradius is 1 unit?



Devanshi Kulkarni

Jan 5, 2015

#### Find the area of the shaded region.



Sol:
= 2[1/4 x 22/7 x 7 x 7] - [7 x 7]
= 77 - 49
= 28

To...

Devanshi Kulkarni

Jan 2, 2015

#### Prove that i) ∠CED=3∠CBD ii) CD=DA



Sol:
(i) Let ∠CBD = x.
∠COD = 2x [Angle made by arc at the centre is twice the angle made by it at any point on the remaining part of the circle.]
∠OCD = 2x [Alternate ang...

Devanshi Kulkarni

Jan 2, 2015

#### In the figure there are 5 squares each of side 2 cm.  (i) Find the radius of the circle. (ii) Find the area of the shaded region ( Take π=3.14)



Please draw the figure and post it.