Hint
Use the stated units and precision. Select the major angle, not the given minor one.
Worked solution
(a)
Select the major angle, not the given minor one.
Subtract 53 from 360 to obtain 307°.
Answer: \(307\)
(b)
Apply the major angle fraction to a complete circumference.
The major fraction \(\displaystyle \frac{307}{360}\) times 2r gives \(\displaystyle \frac{307}{36}\).
Answer: \(\displaystyle \frac{307}{36}\)
(c)
Apply the major angle fraction to a complete circle area.
The major fraction times \(\displaystyle r^{2}\) gives \(\displaystyle \frac{1535}{72}\).
Answer: \(\displaystyle \frac{1535}{72}\)
Maths4U indicative marking guidance
Maths4U indicative marking guidance, not an official mark scheme. Credit complete valid alternative methods and consequential reasoning. An unexplained result does not earn a method mark.
(a) · 2 marks
- 1 mark: Select the major angle, not the given minor one.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
(b) · 2 marks
- 1 mark: Apply the major angle fraction to a complete circumference.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Check the answer against the original conditions.
(c) · 2 marks
- 1 mark: Apply the major angle fraction to a complete circle area.
- 1 mark: Give the correct requested result, retaining signs, units and any domain restrictions.
Alternative methods: Any complete mathematically valid alternative method with the same restrictions and equivalent exact result is acceptable.
Common error: Keep intermediate values exact until the final step.
Total: 6 marks.