MD MERAZ A.

asked • 01/17/17

a circle is drawn on a rectangle of length 14 cm .then find the area of circle

A CIRCLE IS DRAWN ON A RECTANGLE OF LENGTH 14 CM .

Serge M.

I think you have to have the height of the rectangle to solve this.
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01/17/17

Kenneth S.

Much too vague!  "A circle drawn on a rectangle" doesn't uniquely describe the situation.  REWORD this, please.
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01/17/17

MD MERAZ A.

Consider a circle and inscribed a rectangle of length 14 cm and breadth is not given .circle touces the four corner of rectangle imagine and draw 
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01/17/17

Tim C.

In order for this to be be possible, the shape must be a square. Since a square is a special type of rectangle, it works. If the square is inscribed in a circle and has a "length" of 8, then 8 is the diameter of th circle. From this you can determine that the radius is 4. Can you apply the formula for the area.of.a circle to figure out the final answer?
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01/17/17

Tim C.

Sorry, I misread part of the question...Scratch the last part of my answer.  If this is a square you can draw a diagonal and calculate then length of this diagonal using Pythagorean Theorem (since the shape is a square, you know both sides are 8).  The length of the diagonal is the diameter of the circle, from which you can determine the radius and area of the circle.
 
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01/17/17

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Andrew M. answered • 01/17/17

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If this is a square with side length 14cm
then the diameter is 14 cm.  The radius
is d/2 = 7 cm
 
Area = πr2 = 49π
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Tim C.

From the comments above (4 corners touching) this is a square in a circle, not a circle in a square.
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01/17/17

MD MERAZ A.

Sir its rectangle with length 14 cm is given only inscribed in a circle .find the area of circle 
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01/17/17

Tim C.

In order for this situation to be true, it must be a square.  A square is a type of rectangle, so it's fine.  Please refer to my solution in my last response to your post where I discuss finding the diagonal.  Have you drawn a picture of this to help you visualize it?
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01/17/17

MD MERAZ A.

 Sir its not square its a pure rectangle whose length is greater than its breadth .can you please help me out with rectangle of length 14 cm inscribed in a circle find area of circle .also in fig only rectangle length is given and breadth is not known .how can you find the area is it possible or not ..
 
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01/17/17

Andrew M.

Ah.  My error.  This wasn't very clear.  Should have read all the comments closer.
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01/17/17

Tim C.

In the figure, is the rectangle in the circle or is the circle in the rectangle ?  
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01/17/17

MD MERAZ A.

Rectangle in the circle .find area 
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01/17/17

Tim C.

I don't think it is possible to find a number answer to this since there is no height
 
So let w stand for your width.  Using Pythagorean Theorem and 14 as your length and w as your width, find the length of the diagonal of the rectangle.  This will be the diameter of the circle.  Divided this by 2, and then feed this into the formula for the area of a circle.
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01/17/17

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