Equations

Question 1

What is the equation for Pythagoras’ theorem?

Answer 1

a² + b² = c²

Question 2

What is the equation for the sin rule?

Answer 2

a b c
—— = —— = ——
Sin A Sin B Sin C

Question 3

What is the equation for the cosine rule?

Answer 3

a² = b² + c² -2bc cosA

Question 4

What is the equation for area of a triangle (Sin)?

Answer 4

Area= ½ ab sin C

Question 5

What is the equation for area of a circle?

Answer 5

πr²

Question 6

What is the equation for the circumference of a circle?

Answer 6

πd

Question 7

What is the equation for the area of a triangle?

Answer 7

Area= ½ x base x height

Question 8

What is the equation for volume of a prism?

Answer 8

area of cross section x length

Question 9

What is the equation for compound interest (total accrued)?

Answer 9

P ( 1 + r/100) ⁿ

Question 10

What is the equation for the quadratic formula?

Answer 10

x= -b ± √b² - 4ac
———————
2a

Question 11

What is the equation for probability {P(A or B/P(A and B)? (2)

Answer 11

P(A or B)= P(A) + P(B) - P(A and B)

P(A and B)= P(A given B) P(B)

Question 12

What is the equation for in any right-angled triangle ABC where a , b and c are lengths of the sides and c is the hypotenuse?

Answer 12

Sin A= a/c
Cos A= b/c
Tan A = a/b

Question 13

What is the equation for area of a trapezium?

Answer 13

½(a+b)h

Question 14

What is the equation for volume of a sphere?

Answer 14

4/3πr³

Question 15

What is the equation for volume of a cone?

Answer 15

1/3πr²h

Question 16

What is the equation for surface area of a sphere?

Answer 16

4πr²

Question 17

What is the equation for curved surface area of a cone?

Answer 17

πrl