Question

express 3πc/4 in centesimal system​

Answer 1

SOLUTION

TO EXPRESS

In centesimal system

$\displaystyle \sf{ \frac{3 {\pi}^{c} }{4} }$

EVALUATION

Here the given angle is

$\displaystyle \sf{ \frac{3 {\pi}^{c} }{4} }$

We know that

$\displaystyle \sf{ {\pi}^{c} = {180}^{ \circ} }$

$\displaystyle \sf{ \therefore \: \frac{3 {\pi}^{c} }{4} }$

$\displaystyle \sf{ = \frac{3 }{4} \times {180}^{ \circ} }$

$\displaystyle \sf{ = {135}^{ \circ} }$

Now

$\displaystyle \sf{ {1}^{ \circ} = { \bigg( \frac{10}{9} \bigg)}^{g} }$

$\displaystyle \sf{ \therefore \: \: {135}^{ \circ} = { \bigg( \frac{10}{9} \times 135\bigg)}^{g} }$

$\displaystyle \sf{ \therefore \: \: {135}^{ \circ} = { ( 150)}^{g} }$

Which is of the required form in centesimal system

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