find the circumference of the circles with the following radii. (Take π = 22/7) a. 7 cm b. 21 cm c. 14 cm d. 7/2 cm
Share
find the circumference of the circles with the following radii. (Take π = 22/7) a. 7 cm b. 21 cm c. 14 cm d. 7/2 cm
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Find the circumference of the circles with the following radii. (Take π = 22/7)
Formula used : Circumfrence = 2πr
Question A :
[tex]\mathtt{c = 2\times \frac{22}{\cancel7} \times \cancel7} \\ \\ \implies\mathtt{2 \times 22 = 44 \: cm \: \: ans}[/tex]
Question B :
[tex]\mathtt{c = 2\times \frac{22}{\cancel7} \times \cancel {21} } \\ \\ \implies\mathtt{44 \times 3= 132 \: cm \: \: ans}[/tex]
Question C :
[tex]\mathtt{c = 2\times \frac{22}{\cancel7} \times \cancel {14} } \\ \\ \implies\mathtt{4 \times 22= 88 \: cm \: \: ans}[/tex]
Question D
[tex]\mathtt{c = 2\times \frac{\cancel {22}}{\cancel7} \times \frac{\cancel {7}}{\cancel {2}} } \\ \\ \implies\mathtt{2 \times 11= 22 \: cm \: \: ans}[/tex]
Answer:
Given :-
To Find :-
Solution :-
☆ (a) 7 cm :
Given :
According to the question by using the formula we get,
[tex]\implies \sf\boxed{\bold{Circumference_{(Circle)} =\: 2{\pi}r}}\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: 2 \times \dfrac{22}{7} \times 7\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: \dfrac{308}{7}\\[/tex]
[tex]\implies \sf\bold{Circumference_{(Circle)} =\: 44\: cm}\\[/tex]
[tex]\therefore[/tex] The circumference of a circle is 44 cm .
☆ (b) 21 cm :
Given :
According to the question by using the formula we get,
[tex]\implies \sf\boxed{\bold{Circumference_{(Circle)} =\: 2{\pi}r}}\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: 2 \times \dfrac{22}{7} \times 21\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: \dfrac{924}{7}\\[/tex]
[tex]\implies \sf\bold{Circumference_{(Circle)} =\: 132\: cm}\\[/tex]
[tex]\therefore[/tex] The circumference of a circle is 132 cm .
☆ (c) 14 cm :
Given :
According to the question by using the formula we get,
[tex]\implies \sf\boxed{\bold{Circumference_{(Circle)} =\: 2{\pi}r}}\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: 2 \times \dfrac{22}{7} \times 14\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: \dfrac{616}{7}\\[/tex]
[tex]\implies \sf\bold{Circumference_{(Circle)} =\: 88\: cm}\\[/tex]
[tex]\therefore[/tex] The circumference of a circle is 88 cm .
☆ (d) 7/2 cm :
Given :
According to the question by using the formula we get,
[tex]\implies \sf\boxed{\bold{Circumference_{(Circle)} =\: 2{\pi}r}}\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: 2 \times \dfrac{22}{7} \times \dfrac{7}{2}\\[/tex]
[tex]\implies \sf Circumference_{(Circle)} =\: \dfrac{308}{14}\\[/tex]
[tex]\implies \sf\bold{Circumference_{(Circle)} =\: 22\: cm}\\[/tex]
[tex]\therefore[/tex] The circumference of a circle is 22 cm .