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