an ant is moving around a few food pieces of different shapes scattered on the floor. For which food piece would the ant have to take a longer round?remember circumferenceof a circle can be obtained by using the expressions c=2pie r where r is the radius of the circle.
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Diagram:-
Given:-
- an ant is moving around a few food pieces of different shapes scattered on the floor.
- circumferenceof a circle can be obtained by using the expressions c=2pie r is the radius of the circle.
To find:-
- Find the food piece would the ant have to take a longer round. ...?
Solutions:-
(a). Radius (r) of semi circularpart = 2.8/2 cm
= 1.4cm
Perimeter of the given figure = 2.8cm + πr
= 2.8cm + (22/7 × 1.4)cm
= 2.8cm + (22 × 0.2)cm
= 2.8cm + 4.4cm
= 7.2cm
(b) Radius (r) of semi circularpart = 2.8/2 cm
= 1.4cm
Perimeter of the given figure = 1.5cm + 2.8cm + π(1.4cm)
= 5.8cm + 22/7 × 1.4cm
= 5.8cm + 22 × 0.2cm
= 5.8cm + 4.4cm
= 10.2cm
(c) Radius (r) of semi circularpart = 2.8/2 cm
= 1.4cm
Perimeter of the figure (c) = 2cm + πr + 2cm
= 4cm + 22/7 × (1.4cm)
= 4cm + 22 × 0.2cm
= 4cm + 4.4cm
= 8.4cm
hence, the ant be have to take a longer round for the food piece (b), become the perimeter of the figure in alternative (b) is the greatest among all.
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