Question

In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left

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Answer 1

97.96 cm

596.14 cm²

Explanation:

sides become:

• 30 cm ⇒ 16 cm
• 25 cm ⇒ 11 cm

and added corners:

• 4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cm

then perimeter is:

• P= 2*16+2*11+43.96= 97.96 cm

the area left is:

• A= 30*25- 4*1/4*3.14*7²= 596.14 cm²