Question

if the perimeter of a semicircle protector is 88cm so find the diameter of the protector

Answer 1

Given :

A semicircle protector having perimeter = 88 cm

To Find :

Diameter of that protector .

Solution :

Perimeter of a semi circle = 88 cm

½ π d = 88 cm

$\frac{1}{2} \times \frac{22}{7} \times d = 88 \\ \frac{11}{7} \times d = 88 \\ d = 88 \times \frac{7}{11} \\ d = 8 \times 7 \\ d = 56$
The measure of the diameter is 56 cm .


What is a semicircle ?

=> A semicircle is a half circle .

What is a circle ?

=> A circle is a closed figure.

It is 2 dimensional .

It is having infinite number of radii and infinite number of radius.

What is the relation between radius and the diameter of a circle ?

=> A radius is doubled of the diameter.

And its vice versa also :

=> A diameter of the circle is half of the radius of the given circle .

★Area of a circle :

πr²

★Perimeter of a circle :

2πr

or

πd

What is π ?

=> Whenever you divide the circumference of the given circle by its radius the value remains always same , i.e. 22/7 or 3.14 approx.

Thanks !!

Answer 2

Step-by-step explanation:

Given :

A semicircle protector having perimeter = 88 cm

To Find :

Diameter of that protector .

Solution :

Perimeter of a semi circle = 88 cm

½ π d = 88 cm

\begin{lgathered}\frac{1}{2} \times \frac{22}{7} \times d = 88 \\ \frac{11}{7} \times d = 88 \\ d = 88 \times \frac{7}{11} \\ d = 8 \times 7 \\ d = 56\end{lgathered}

2

1

×

7

22

×d=88

7

11

×d=88

d=88×

11

7

d=8×7

d=56

The measure of the diameter is 56 cm .

What is a semicircle ?

=> A semicircle is a half circle .

What is a circle ?

=> A circle is a closed figure.

It is 2 dimensional .

It is having infinite number of radii and infinite number of radius.

What is the relation between radius and the diameter of a circle ?

=> A radius is doubled of the diameter.

And its vice versa also :

=> A diameter of the circle is half of the radius of the given circle .

★Area of a circle :

πr²

★Perimeter of a circle :

2πr

or

πd

What is π ?

=> Whenever you divide the circumference of the given circle by its radius the value remains always same , i.e. 22/7 or 3.14 approx.

Thanks !!