Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

Step-by-step explanation:

Given that a rectangle is inscribed in a circle of radius r.

Since diameter subtends right angle at the circumference we get diagonal of the rectangle is diameter of the circle

Let l and w be the dimensions

Then

Hence A =lw maximum when A square is maximum

i.e.

Use derivative test

I derivative =

II derivative <0 for non zero value of l

Hence maximum when

Or rectangle is a square with equal sides

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !