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Measurement, NAP-E4-CA13

Grant cut two semicircles from a rectangle to create Shape 1.

He then joins the semicircles to each end of an identical rectangle to create Shape 2.

Which of the following statements is true about Shape 1 and Shape 2?

 
 They have the same area and the same perimeter.
 
 They have different areas and the same perimeter.
 
 They have the same area and different perimeters.
 
 They have different areas and different perimeters.
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`text(They have different areas and the same perimeter.)`

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`text(The semi-circles in both shapes have the same length)`

`text(but have been turned around in Shape 2.)`

`:.\ text(They have different areas and the same perimeter.)`

Measurement, NAP-I4-CA29 SA

A target is drawn as follows

What is the area of the entire target?

Round your answer to the nearest square centimetre.

   cm² 
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`284\ text(cm)^2`

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`text(Area)` `= pi r^2`
  `= pi (2 + 1.5 xx 5)^2`
  `= pi (9.5)^2`
  `= 283.52…`
  `= 284\ text(cm)^2`