Garrett Schwartz
06/23/2023 · High School
Exercise 6 Use the \( \pi \) button on a calculator. You will need basic trigonometry (page 209). 1. The chord \( A B \) subtends an angle of \( 130^{\circ} \) at the centre \( O \). The radius of the circle is 8 cm . Find: a) the length of \( A B \) b) the area of sector \( O A B \) c) the area of triangle \( O A B \) d) the area of the minor segment (shown shaded).
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a) Length of chord \( AB \approx 14.50 \, \text{cm} \)
b) Area of sector \( OAB \approx 72.69 \, \text{cm}^2 \)
c) Area of triangle \( OAB \approx 24.51 \, \text{cm}^2 \)
d) Area of the minor segment \( \approx 48.18 \, \text{cm}^2 \)
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