Question

A circle circumscribes a rectangle with sides 6cm and 8cm.what is the circumference of the circle?

Answer 1

Answer:

31.4 cm

Step-by-step explanation:

diagonal of rectangle = diameter of circle

diagonal ^2 = 6^2 + 8^2

diagonal^2 = 36 + 64

Diagonal^2 = 100

Diagonal = 10 cm

Circumference of circle = pie * Diameter

= 3.14 * 10

= 31.4 cm

Answer 2

Answer:

The circumference of the circle is $31.4cm$.

Step-by-step explanation:

It is given that the sides of rectangle are $6cm,8cm$.

A circle circumscribes a rectangle.

It means that rectangle is contained in a circle.

A circle is defined as a shape consisting of all points in a plane that are at a given distance from a given point, the center.

A rectangle is defined as a quadrilateral with four right angles.

As per the given information, diagonal of rectangle = diameter of circle.

Let diagonal be $L$

Then

$L ^2 = 6^2 + 8^2$

$L ^2 = 36+64$

$L ^2 = 100$

$L=10$

Length of diagonal is $10cm$

Circumference of circle is calculated as $pi*diameter$

$=3.14*10=31.4cm$

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