Question

Can someone please help me with this question?

Answer 1

the answer is 52.4cm

Explanation:

Answer 2

The circle has radius 10 cm, so its circumference is
`2\pi(10\,\mathrm{cm})=20\pi\,\mathrm{cm}`.

The highlighted arc is subtended by a central angle of 300 degrees. You can think of the circumference as an arc of the circle that is subtended by an angle of 360 degrees (one complete revolution). Then there's a proportional relationship between the arc length we want (call it
`\ell`) and the circumference:

`(\ell)/(300^\circ)=\frac{20\pi\,\mathrm{cm}}{360^\circ}\implies\ell=\frac{300^\circ\cdot20\,\mathrm{cm}}{360^\circ}=\frac{50\pi}3\,\mathrm{cm}`

or approximately 52.4 cm.