\boxed{-2}
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- \cos 180^\circ = -1, \quad \sin 270^\circ = -1
- Adding these together:
- \cos 180^\circ + \sin 270^\circ = -1 + (-1) = -2
- Question: A right triangle has a hypotenuse of length $t$, and the radius of the inscribed circle is $r$. What is the ratio of the area of the circle to the area of the triangle?
- Solution: The area $A_{\text{circle}}$ of the inscribed circle is:
- The area $A_{\text{triangle}}$ of a right triangle with legs $a$ and $b$ and hypotenuse $t$ is:
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