# Diagonals of diamond

Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.

Correct result:

S =  82.5 m2
o =  37.202 m

#### Solution:

$a=\sqrt{ (u_{1}/2)^2+(u_{2}/2)^2 }=\sqrt{ (15/2)^2+(11/2)^2 } \doteq 9.3005 \ \text{m} \ \\ o=4 \cdot \ a=4 \cdot \ 9.3005=2 \ \sqrt{ 346 }=37.202 \ \text{m}$

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