Question

The circumference of a circle exceeds the diameter by 16.8 cm. Find the circumference of a circle.​

Answer 1

Answer:

Circumference = 8.21 cm

Answer 2

$\mathfrak{Given :-}$

$\mathfrak{Circumference = Diameter + 16.8 cm}$

$\mathfrak{To Find :-}$

$\mathfrak{Circumference}$

$\mathfrak{Solution :-}$

$\mathfrak{Circumference \: = Diameter \: + \: 16.8 \: cm}$

$\mathfrak{Circumference \: = Radius \: +Radius\: + \: 16.8 \: cm}$

$\mathfrak{Circumference \: = 2 \: Radius \: + \: 16.8 \: cm}$

$\mathfrak{2 \: \pi \: r \: = 2 \: r \: + \: 16.8 \: cm}$

$\mathfrak{2 \: \pi \: r \: - \: 2 \: r \: = \: 16.8 \: cm}$

$\mathfrak{r \: (2 \: \pi \: - \: 2) \: = \: 16.8 \: cm}$

$\mathfrak{r \times (2 \: \pi \: - 2) = 16.8 \: cm}$

$\mathfrak{r \: \times (2 \times \frac{22}{7} - 2) = 16.8 \: cm }$

$\mathfrak{r \: \times( \frac{44}{7} - 2) = 16.8 \: cm }$

$\mathfrak{r \: \times ( \frac{44 - 14}{7} ) = 16.8 \: cm}$

$\mathfrak{r \: = \frac{16.8 \times 7}{30} \: cm }$

$\mathfrak{r \: = \frac{117.6}{30} cm}$

$\mathfrak{r \: = 3.92 \: cm}$

$\mathfrak{Circumference \: = 2 \: \pi \: r}$

$\mathfrak{Circumference \: = 2 \: \times \frac{22}{7} \: \times 3.92 \: cm }$

$\mathfrak{Circumference \: = 24.64 \: cm}$