IP1U13 SWII (Pythagoras) Q12

In the right-angled triangle shown, \(\angle ACB=90^\circ\), \(AC=15\text{ cm}\) and \(BC=8\text{ cm}\). The printed \(\angle BAC=28^\circ\) is rounded to the nearest degree. Use the exact side lengths and unrounded calculated angles for the answers to two decimal places.

Arc \(MC\) has centre \(A\) and arc \(NC\) has centre \(B\).

Find, correct to \(2\) decimal places:

1. the perimeter of the shaded region,
2. the area of the shaded region.