Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
[tex]\frac{80}{360}[/tex] × pi × 7 × 2 = 3[tex]\frac{1}{9}[/tex]pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
[tex]\frac{285}{360}[/tex] × pi × 10 × 10 = 79[tex]\frac{1}{6}[/tex]pi
= 249m² (rounded to 3 s.f.)
