circle theorems and surface areas

Question 1

Explain circle theorems

Answer 1

• Angles at center is double angle at circumference
• Angles in semicircle is 90 degrees
• Opposite angles in a cyclic quadrilateral are 180 degrees
• Angles in same segment are equal

Question 2

Volume of a cylinder

Answer 2

πr²h

Question 3

volume of a cone

Answer 3

1/3πr²h

Question 4

volume of a sphere

Answer 4

4/3πr3

Question 5

circumference of sphere

Answer 5

πd

Question 6

surface area of sphere

Answer 6

4πr²

Question 7

curved surface area of cone

Answer 7

πrl

Question 8

surface area of cylinder

Answer 8

2πrh+2πr2