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The diameter ' of the circle below is 29 cm. What is the circumference of the circle? Give your answer in centimetres (cm) to 1 d.p. circumference=square cm Not drawn accurately

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The diameter ' of the circle below is
29 cm.
What is the circumference of the circle?
Give your answer in centimetres (cm)
to 1 d.p.
circumference=square cm
Not drawn accurately

The diameter ' of the circle below is 29 cm. What is the circumference of the circle? Give your answer in centimetres (cm) to 1 d.p. circumference=square cm Not drawn accurately

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EugenieMaster · Tutor for 5 years

Answer

Now, the numerical value of Pi is approximately 3.14159. However, to make the calculation manageable, we will round off Pi up to three numerical places after the decimal which makes Pi approximately 3.142. <br /><br />Hence after multiplication<br /> ### \(C = \pi \times 29 = 3.142 × 29 = 91.098 ~cm\).<br /><br />Hence, the circumference of the circle, rounded off to 1 d.p is approximately \(91.1 ~\text{cm}\), <br /><br />The Circumference \(C = 91.1~ cm \) (to 1 decimal place)

Explain

## Step 1: Understanding the problem<br />We are given the diameter of a circle and we need to find its circumference. The relationship between these two quantities in a circle is expressed using the formula \(C = πdyl\), where \(C\) is the circumference of a circle and \(d\) its diameter.<br /><br />## Step 2: Substituting the given values into the formula<br />We are given the diameter of the circle \(d = 29~ cm\). Hence, by substituting this given value into its circumference formula \(C = \pi d\),<br /><br />### \(C = \pi \times 29\).<br /><br />## Step 3: Computing the Circumference<br />By multiplying \(29~ cm\) by \(\pi, \) we will get the circumference of the circle in 1 d.p.
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