The legs of a right-angled triangle are 9 and 12. Find the area of a circle bounded by a circle around this triangle.

Let’s find out how many conventional units will express the length of the hypotenuse in our right-angled triangle, if from the condition of the task we know that its legs are 9 and 12 conventional units, respectively:

√ (9 ^ 2 + 12 ^ 2) = √ (81 + 144) = √225 = 15.

Let’s find out how many conventional units express the radius of our circle, because the hypotenuse is its diameter:

15: 2 = 7.5.

Let’s find out what the area of the circle will be equal to in this case:

3.14 * 7.5 * 7.5 = 176.625.

Answer: 176.625 conventional square units.