Solusyon - Katangian ng mga bilog

Ang diameter $$\left(d\right)$$ ay katumbas ng dalawang beses ang radius:
$$d=2·r$$

$$d=2\cdot r$$

r=13.416

$$d=2\cdot 13.416$$

$$d=26.833$$

Ang circumference $$\left(c\right)$$ ay katumbas ng dalawang beses ang radius times π:
$$c=2·r·\pi$$

$$c=2\cdot r\cdot \pi$$

r=13.416

$$c=2\cdot 13.416\cdot \pi$$

$$c=26.833\cdot \pi$$

Ang area $$\left(a\right)$$ ay katumbas ng squared na radius times π:
$$a=r^2·\pi$$

$$a=r^2\cdot \pi$$

r=13.416

$$a={13.416}^2\cdot \pi$$

$$a=180\cdot \pi$$

Ang mga coordinates ng sentro ng isang bilog ay karaniwan, ngunit hindi palaging, kinakatawan ni $$h$$ at $$k$$ sa standard form equation ng isang bilog:
$${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$$
Kilalanin ang $$h$$ at $$k$$ sa equation:
$$z^2+v^2=180$$
$$h=0$$
$$k=0$$
Sentro $$\left(0;0\right)$$

Upang mahanap ang $$x$$ -intercept(s), palitan ng $$0$$ ang $$y$$ sa standard form equation ng bilog
$${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$$
at lutasin ang quadratic equation para sa $$x$$:

$${\left(z+0\right)}^2+{\left(v+0\right)}^2=180$$

$${\left(z+0\right)}^2+{\left(0+0\right)}^2=180$$

$${\left(z+0\right)}^2+{\left(-0\right)}^2=180$$

$${\left(z+0\right)}^2+0=180$$

$${\left(z+0\right)}^2=180-0$$

$${\left(z+0\right)}^2=180$$

$$\sqrt{\left({\left(z+0\right)}^2\right)}=\sqrt{\left(180\right)}$$

$$z+0=\sqrt{\left(180\right)}$$

$$z=\pm \sqrt{\left(180\right)}-0$$

$$z_1=\left(\sqrt{\left(180\right)}-0,0\right),z_2=\left(-\sqrt{\left(180\right)}-0,0\right)$$

Para hanapin ang $$y$$ -intercept(s), palitan ang $$0$$ para sa $$x$$ sa standard form equation ng bilog
$${\left(x-h\right)}^2+{\left(y-k\right)}^2=r^2$$
at isulit ang quadratic equation para sa $$y$$:

$${\left(z+0\right)}^2+{\left(v+0\right)}^2=180$$

$${\left(0+0\right)}^2+{\left(v+0\right)}^2=180$$

$${\left(-0\right)}^2+{\left(v+0\right)}^2=180$$

$$0+{\left(v+0\right)}^2=180$$

$${\left(v+0\right)}^2=180-0$$

$${\left(v+0\right)}^2=180$$

$$\sqrt{\left({\left(v+0\right)}^2\right)}=\sqrt{\left(180\right)}$$

$$v+0=\sqrt{\left(180\right)}$$

$$v=\pm \sqrt{\left(180\right)}-0$$

$$v_1=\left(0,\sqrt{\left(180\right)}-0\right),v_2=\left(0,-\sqrt{\left(180\right)}-0\right)$$

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