Question

--
If area of square is 4 sq cm and a circle with radius 1 cm is
placed inside, find the percentage of the uncommon area.​

Answer 1

GIVEN :-

• Area of square = 4 cm².
• Radius of circle = 1 cm.

TO FIND :-

• The uncommon area.

SOLUTION :-

★ Radius of circle = 1 cm.

As we know that,

★ Area of circle = πr².

Now put the value of radius,

➺ πr²

➺ 22/7 × (1)²

➺ (22 × 1)/7

➺ 22/7

➺ 3.14 cm²

❏ Hence the Area of circle is 3.14 cm².

☢ ACCORDING TO QUESTION,

➔ Uncommon Area = Area of square - Area of Circle. ,

➔ 4 cm² - 3.14 cm².

➔ 0.86 cm².

❏ Hence the Uncommon Area is 0.86 cm².

Now we have to find the percentage of uncommon area ,

➺ % of Uncommon Area = [Uncommon Area/Area of square × 100 %]

Now substitute the values,

➺ [0.86/4 × 100 %]

➺ 0.215 × 100 %

➺ 21.5 %

❏ Hence the Percentage of Uncommon Area is 21.5 %.

Answer 2

Step-by-step explanation:

Given that, if area of square is 4 sq cm and a circle with radius 1 cm is placed inside.

We have to find the the percentage of the uncommon area.

Given condition is same as that we have given a circle inside a square and we have to find the left area or shaded portion.

Now,

Area of square = (side)² = 4 cm²

Area of circle = πr²

= 22/7 × (1)²

= 22/7 cm²

Uncommon area = Area of square - Area of circle

Simply substitute the values,

→ 4 - 22/7

→ (28 - 22)/7

→ 6/7

→ 0.86 cm²

Therefore, the uncommon area is 0.86 cm². But we have to find the percentage. So, multiply it by 100.

→ 0.86/4 × 100

→ 21.5%

Hence, the percentage of the uncommon area is 21.5%.