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lovehelping7095

06.09.2021 •

Mathematics

Y+x³+2x²+3x-1
y=-2x³- $\frac{3x^{2} }{2}$ +1

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Ответ:

abigailcayton

11.11.2021

a) Area of sector TRV = $42.4\: units^2$

b) $0.8\: units$

Step-by-step explanation:

a)

In $\odot R$ , TW is diameter.

Therefore,

$m\widehat {TVW} = 180\degree$

$\because m\widehat {TV} +m\widehat {VW} =m\widehat {TVW}$

$\therefore m\widehat {TV} +120\degree =180\degree$

$\therefore m\widehat {TV} =180\degree - 120\degree$

$\therefore m\widehat {TV} = 60\degree$

$\because m\angle TRV=m\widehat{TV}$

(Measure of central angle is equal to the measure of its corresponding arc)

$\therefore m\angle TRV\:(\theta) =60\degree$

Radius (r) = RW = 9 units

Area of sector TRV

$=\frac{\theta}{360\degree}\times \pi r^2$

$=\frac{60\degree}{360\degree} \times 3.14\times 9^2$

$=\frac{1}{6} \times 3.14\times 81$

$=\frac{1}{6} \times 254.34$

$=42.39\: units^2$

Area of sector TRV $=42.4\:units^2$

b)

Length of $\widehat{VW}$

$=\frac{120\degree }{360\degree} \times 2\pi r$

$=\frac{2}{3} \times 3.14\times 9$

$=2 \times 3.14\times 3$

Length of $\widehat{VW}$ $= 18.84\: units$

$\overline{TW} =2*RW =2*9 = 18\: units$

$\widehat{VW}- \overline{TW}= 18.84-18=0.84\: units$

$\widehat{VW}- \overline{TW}= 0.8\: units$

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