The length of a side of a spuare is 7 cm and the diameter of a circle is 7 cm .which one has greater area? (Please solve it step by step)
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The length of a side of a spuare is 7 cm and the diameter of a circle is 7 cm .which one has greater area? (Please solve it step by step)
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Answer:
length of square has greater area
Step-by-step explanation:
Step1-
Sides of square=4multiply sides
7 cm =7multiply4=28
Area of square=Addition of all sides
Area of square is equal to Sides of square
Diameter of a circle=4 multiply 2=8
First, we need to find the area of the square and circle. Then we need to compare them.
Area of the square ⇒ Side²
Length of Side ⇒ 7cm
Area of the square ⇒ 7² = 49
∴The area of square is 49cm²
Area of the circle ⇒ [tex]\frac{1}{4}\pi d^2[/tex]
Diameter ⇒ 7
Area of the circle ⇒ [tex]\frac{1}{4}\pi 7^2[/tex]
⇒ [tex]\frac{1}{4}\times \frac{22}{7}\times 49[/tex]
⇒ [tex]\frac{11}{14}\times 49[/tex]
⇒ [tex]\frac{77}{2}[/tex]
⇒ [tex]38.5[/tex]
∴The area of the circle is 38.5cm²
Let's compare the areas of the square and the circle.
[tex]49>38.5[/tex]
∴ The square has a greater area.