Shot Put circles

Shot Put circles

Pencil and paper
Overview
Connecting to the Curriculum
Marking Student Responses
Working with Students
Further Resources
This task is about calculating areas of circles and sectors of circles.

A shot-put throwing circle and throwing area are shown in this diagram. 

a) The diameter of the throwing circle is 2.5 m. Calculate the area of the throwing circle.

Show your working here:
 
 
 
 
 
 
 
The area of the throwing circle is __________ m2 (to 1 d.p)

 
b) Calculate the area of the throwing area (sector AOB) if it has a radius of 30 m and an  angle AOB = 40o.

Show your working here:
 
 
 
 
 
 
 
 
Shaded area __________ m2 (to the nearest square metre)
Level:
5
Curriculum info: 
Maths, Geometry and Measurement, Measurement
Keywords: 
area, sectors, rounding
Description of task: 
Students work out the area of a circle and a fraction (Sector) of a circle.
Learning Progression Frameworks
This resource can provide evidence of learning associated with
Measurement sense, sets 7-8
within the Mathematics Learning Progressions Frameworks.
Read more about the Learning Progressions Frameworks.
Answers/responses: 
 

Y10 (08/00)
a)

4.9

 

Uses a correct formula but makes errors in its application.

2 marks
or

1 mark
b)

314

 

Partially correct calculation, including:

  • Uses the ratio 1/9 (or 40/360) but makes other errors.
  • Uses a correct formula but makes errors in its application.
 

2 marks
or

1 mark
Total:  4 marks
Based on a representative sample of 161 students.
Diagnostic and formative information: 
  Common error Likely calculation Likely misconception
a) 19.6 or 19.63 2.52 π Squares the diameter rather than the radius.