Question

circumference=77cm, find the Radius and Diameter ?​

Answer 1

Answer:

radius r=12.25 diameter= 24.5

Step-by-step explanation:

Circumference of a circle=2πr

2×22/7×r=77

22/7×r=77/2

r=77/2×7/22

r=539/44

r=12.25

.Diameter=2×r

=2×12.25

=24.50

Answer 2

Answer:

Hence the radius is 12.25 cm and the diameter is 24.5 cm.

Step-by-step explanation:

As per the data provided in the given question.

The given data is as follows,

The circumference of a circle is 77 cm.

We have to find the value of radius (r) and diameter (d).

Here we will be using the formula of the circumference of a circle.

$Circumference=2\pi r$

Now we will substitute the value of circumference in the above formula.

$77=2\times\frac{22}{7}\times r$

Now we will shift  $\frac{22}{7}$ RHS to LHS as below

$77\times\frac{7}{22}= 2\times r$

Now we will divide 77 by 11 get 7 and 22 by 11 get 2 .

$7\times\frac{7}{2}=2\times r$

Now we will shift numerator 2 of RHS to the denominator of LHS.

[tex]\frac{7}{2}\times\frac{7}{2}=r\\ \frac{49}{4}=r\\ r=\frac{49}{4} \\ r=12.25\;cm[/tex]

The diameter is 2 times of radius.

$d=2\times r$

Now we will substitute the value of radius in the above formula.

[tex]d=2\times12.25\\ d=24.5\;cm[/tex]

Hence the radius is 12.25 cm and the diameter is 24.5 cm.