a convex octagon inscribed in a circle has four consecutive sides of length 3 and 4 consecutive sides of length 2. find the area of the octagon if if you solve this question I will mark you as brainliest answer

13 + 12√2

Step-by-step explanation:

Not sure if there's an easier way, but here's my method:

Draw the radius lines from the center of the circle to each vertex of the octagon.  This will divide the octagon into 8 isosceles triangles, 4 big and 4 small.

Draw the height of one of the big triangles.  Define the angle between the height and the radius as A.  Similarly, draw the height of one of the small triangles.  Define the angle between the height and the radius as B.

Using trig, we can say:

sin A = 1.5 / r

sin B = 1 / r

The vertex angle of the large isosceles triangle is 2A, and the vertex angle of the small isosceles triangle is 2B.  Therefore:

4(2A) + 4(2B) = 360

A + B = 45

If we substitute into the first trig equation:

sin(45 − B) = 1.5 / r

sin 45 cos B − cos 45 sin B = 1.5 / r

1/√2 cos B − 1/√2 (1/r) = 1.5 / r

cos B − 1/r = 1.5√2 / r

cos B = (1 + 1.5√2) / r

If we substitute into the second trig equation:

sin(45 − A) = 1 / r

sin 45 cos A − cos 45 sin A = 1 / r

1/√2 cos A − 1/√2 (1.5/r) = 1 / r

cos A − 1.5/r = √2 / r

cos A = (1.5 + √2) / r

Using SAS area of a triangle, the area of the large triangle is:

Area = ½ r² sin(2A)

Area = ½ r² (2 sin A cos A)

Area = r² sin A cos A

Area = (r sin A) (r cos A)

Area = (1.5) (1.5 + √2)

Area = 2.25 + 1.5√2

Similarly, the area of a small triangle is:

Area = ½ r² sin(2B)

Area = ½ r² (2 sin B cos B)

Area = r² sin B cos B

Area = (r sin B) (r cos B)

Area = (1) (1 + 1.5√2)

Area = 1 + 1.5√2

So the total area is:

Area = 4(2.25 + 1.5√2) + 4(1 + 1.5√2)

Area = 9 + 6√2 + 4 + 6√2

Area = 13 + 12√2

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it