Jules cuts away one-half of the circle shown below.
- Draw a sketch of Jules' new shape. Include the length of the diameter in your sketch. (1 mark)
--- 4 WORK AREA LINES (style=lined) ---
- What is the perimeter of the new shape, to the nearest metre? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Show Answers Only
a.
b. \(26\ \text{m (nearest m)}\)
Show Worked Solution
a.
| b. | \(\text{Perimeter}\) | \(=\text{diameter}+\dfrac{1}{2}\times \text{circumference}\) |
| \(=10 +\Bigg(\dfrac{1}{2}\times \pi d\Bigg)\) | ||
| \(=10 +\Bigg(\dfrac{1}{2}\times \pi\times 10\Bigg)\) | ||
| \(=10+5\pi\) | ||
| \(=25.707\dots\) | ||
| \(=26\ \text{m (nearest m)}\) |