Diagram A shows a quarter of a circle shaded inside the square. Diagram B shows four identical quarter circles shaded inside the square. Show that the area of the region shaded in diagram A is equal to the area of the region shaded in diagram B. Radius of A = and B = P1 x x/2 or 4 × × M1 πx2 π (x/2)2 = hence both areas are the same C1 πx2 πx2 (Total 3 marks) Question 22. There are 180 members of the swimming club. The pie chart shows the proportion of men and the proportion of women in the club. There are 13 more women in the badminton club than in the swimming club. There are 27 fewer men in the badminton club than in the swimming club. Brian draws a pie chart to show the proportion of men and the proportion of women in the badminton club. Work out the angle of the sector in pie chart that represents women in the Badminton club. Brian’s × 180 = 93 P1 180 + 13 27 = 166 P1 − × 360 M1; = 230° A1 (Total 4 marks)
Diagram A shows a quarter of a circle shaded inside the square. Diagram B shows four identical quarter circles shaded inside the square. Show that the area of the region shaded in diagram A is equal to the area of the region shaded in diagram B. Radius of A = x and B = x/2 P1 πx2 or 4 × × π (x/2)2 M1 πx2 = πx2 hence both areas are the same C1 (Total 3 marks) Question 22. There are 180 members of the swimming club. The pie chart shows the proportion of men and the proportion of women in the club. There are 13 more women in the badminton club than in the swimming club. There are 27 fewer men in the badminton club than in the swimming club. Brian draws a pie chart to show the proportion of men and the proportion of women in the badminton club. Work out the angle of the sector in Brian’s pie chart that represents women in the Badminton club. × 180 = 93 P1 180 + 13 − 27 = 166 P1 × 360 M1; = 230° A1 (Total 4 marks)
pixl_ppe_march_edexcel_2f_ws.docx