![]() So we could also divide by two first and then multiply by the radius to work out the area of a circle given its circumference. The first step in solving this problem is to get the right formula, which we know is: C. It’s also worth pointing out that as multiplication and division are both commutative, we could perform these operations in either order. Example 1: Find the circumference of a circle that has a radius of 6 m. So we can answer that if we’re given the circumference of a circle, we can multiply it by its radius and then divide by two in order to work out its area. ![]() If we then divide by two, this will cancel with the two in the numerator, leaving just □□ squared which is our area formula. So this becomes two □□ squared, which is looking a lot more like our area formula. If we first multiply by □, we’ll have two □□ multiplied by □. Let’s start with our formula for the circumference of a circle, two □□. But actually, we don’t need to go all the way back to finding the radius. So the question is if we know the circumference of a circle, what can we do with this value in order to work out its area? Well, we could work all the way back from knowing the circumference of a circle to find its radius and then substitute this value into the area formula. As the area formula uses □, we’ll consider the circumference formula, which also uses the radius of the circle. The area can be found using the formula □□ squared. The circumference of a circle can be found using the formula two □□ or □□, where □ represents the radius of a circle and □ represents its diameter. ![]() Let’s go ahead and write these formulas down. So in this question, we’re being asked to identify the link between the formulas we used to calculate the circumference and area of a circle. How can you use the circumference of a circle to work out its area?
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