Question

The circumference of a circular field is 248.06 yards. What is the radius of the field? Use 3.14 and do not round your answer.

Answer 1

Answer :-

• The radius of the field is 39.5 yards.

Given :-

• The circumference of a circular field is 248.06 yards.

To find :-

• The radius of the field.

Step-by-step explanation :-

• Here, the circumference of a circular field is given to us. We have to find it's radius.

We know that :-

$\underline{ \boxed{ \sf Circumference \: of \: a \: circle = 2\pi r}}$

Where,

• π = pi.
• r = Radius.

Here,

• Circumference = 248.06 yards.
• π = 3.14.

• Let the radius be "r" yards.

Substituting the given values in this formula,

$\rm248.06 = 2 \times 3.14 \times r$

Multiplying 2 with 3.14,

$\rm248.06 = 6.28 \times r$

Multiplying 6.28 with r,

$\rm248.06 = 6.28r$

Transposing 6.28 from RHS to LHS, changing it's sign,

$\rm \dfrac{248.06}{6.28} = r$

Dividing 248.06 by 6.28,

$\overline{ \boxed{\rm39.5 \: yards = r}}$

________________________________

• Hence, the radius of the circular field is 39.5 yards.

Answer 2

$\huge\mathfrak\color{navy}{ \underline{ \color{navy}{★ \:Given:-}}}$

The circumference of a circular field is 248.06 yards.

$\huge\mathfrak\color{navy}{ \underline{ \color{navy}{★ \:To \: find:-}}}$

Radius of the field.

$\huge\mathfrak\color{navy}{ \underline{ \color{navy}{★ \:Formulas \: used:-}}}$

Circumference = 2πr

$\huge\mathfrak\color{navy}{ \underline{ \color{navy}{★ \:Solution:-}}}$

We know that circumference of a circle = 2πr

So, 2πr = 248.06 yards.

→ 2×3.14×r = 248.06 yards

→ 3.14 × r = 248.06 ÷ 2

→ 3.14 × r = 124.03

→ r = 124.03 ÷ 3.14

→ r = 39.5 yards

Hence, radius = 39.5 yards.