A circular tabletop has a diameter of

MATHEMATICS · Subjective · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

28\,\text{cm}

. A slice in the shape of a sector with central angle

135^{\circ}

is to be painted a different colour. (a) Calculate the exact area of the sector using

\pi=\dfrac{22}{7}

. Give your answer in

\text{cm}^2

. (b) Convert the area obtained in part (a) to

\text{m}^2

, correct to four decimal places. (c) Determine the area of the remaining part of the tabletop that is NOT painted.