Question

the circumstance of two circles are 44 cm and 110 cm respectively. find the difference between their radii

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Answer 1

$\huge\underline \color{gold}ANSWER$

✏️Formula for circumference of a circle

$2\pi \: r$

Circumference of circle 1 = 44cm

Therefore radius of circle one,

$2\pi \: r = 44cm \\ = \pi \: r = 22cm \\ \frac{22}{7} \times r = 22cm \\ = r = 7cm$

Circumference of circle 2 = 110cm

Therefore radius of circle two,

$2\pi \: r = 110cm \\ = \pi \: r = 55cm \\ = \frac{22}{7} \times r = 55cm \\ = \frac{2}{7} \times r = 5cm \\ = r = 17.5cm$

Difference between the two radii,

$(17.5 - 7)cm \\ = 10.5cm$

Answer 2

Answer:

Formula for circumference of a circle

2\pi \: r2πr

Circumference of circle 1 = 44cm

Therefore radius of circle one,

\begin{gathered}2\pi \: r = 44cm \\ = \pi \: r = 22cm \\ \frac{22}{7} \times r = 22cm \\ = r = 7cm\end{gathered}

2πr=44cm

=πr=22cm

7

22

×r=22cm

=r=7cm

Circumference of circle 2 = 110cm

Therefore radius of circle two,

\begin{gathered}2\pi \: r = 110cm \\ = \pi \: r = 55cm \\ = \frac{22}{7} \times r = 55cm \\ = \frac{2}{7} \times r = 5cm \\ = r = 17.5cm\end{gathered}

2πr=110cm

=πr=55cm

=

7

22

×r=55cm

=

7

2

×r=5cm

=r=17.5cm

Difference between the two radii,

\begin{gathered}(17.5 - 7)cm \\ = 10.5cm\end{gathered}

(17.5−7)cm

=10.5cm

Step-by-step explanation:

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