# Video: KS2-M16 β’ Paper 2 β’ Question 12

If π = 22, calculate 2π + 9. If 2π + 4 = 100, what is the value of π?

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### Video Transcript

If π equals 22, calculate two π plus nine. If two π plus four equals 100, what is the value of π?

Letβs start by answering this part of the question. We know the value of π is 22. Weβre asked to calculate two π plus nine. Two π means multiply two by π. We know that π is 22. So two π is two multiplied by 22, which is 44. Weβve calculated two π. Now we just need to add nine. 44 plus nine is 53.

Now we can move on to the next part of the question where weβre asked to find the value of π. Weβre told that two π plus four is equal to 100. We can use this fact to help us sketch a bar model. Two times π plus four is equal to 100. We can use this bar model to help us work back using the inverse to find the value of π.

If we take away the four, this will leave us with two π or two lots of π. 100 take away four is 96. If two times π or two lots of π is 96, then one π or the value of π will be 96 divided by two. Half of 90 is 45 and half of six is three. 45 and three is 48. Half of 96 is 48. The value of π is 48.