Question

PLEASE HELP!! Find the circumference of circle K. Round your answer to the nearest hundredth. Circumference = ft

Answer 1

12.57 ft

Explanation:

Since triangle ∆EFH is a right angled triangle,side |EF| can be determined by

• Sin© = Opposite side ÷ hypothenus side
• where © is the given angle in the triangle

• Sin 60 = 2✓3 ÷ |EF|
• |EF| = 2√3 ÷ sin 60
• |EF| = 2√3 ÷ 0.8660
• |EF| = 4ft

Since Line |EF| is a straight line that passes through the centre of the circle and touch two sides of the circumference,

line |EF| is the diameter of the circle

• Circumference = 2πr
• where r = radius
• radius = diameter ÷ 2
• radius = 4 ÷ 2
• radius = 2 ft

1. Circumference = 2πr
2. Circumference = 2 × 22/7 × 2
3. Circumference = 12.57 ft
4. Circumference = 12.57 ft