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Question Number 163556 by Ari last updated on 07/Jan/22

Answered by ajfour last updated on 07/Jan/22

$$\frac{x}{8}+\frac{y}{15}=1\Rightarrow 15x+8y=120$$$$r=\frac{15r+8r-120}{\sqrt{225+64}}$$$$\Rightarrow r=20$$

Answered by mr W last updated on 07/Jan/22

Commented by mr W last updated on 07/Jan/22

$$\frac{BM\times 15}{2}=60$$$$\Rightarrow BM=8$$$$AB=r-8$$$$ED=r-15$$$$BD=BC+CD=AB+ED$$$$BD=(r-8)+(r-15)=2r-23$$$${BD}^2=8^2+{15}^2=289={17}^2$$$${(2r-23)}^2={17}^2$$$$2r-23=17$$$$r=\frac{17+23}{2}=20cm$$$$areaofcircle=\pi r^2=400\pi {cm}^2$$

Commented by Tawa11 last updated on 08/Jan/22

$$\mathrm{Great}\mathrm{sir}$$

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