Question

From a square of side 28 cm, a semicircle is removed. Find the area of the remaining shape.​

Answer 1

Answer:

168cm²

Step-by-step explanation:

See the attached image for solution.

Answer 2

NB : diagram is attached

$\bf\huge\underline{\underline{ Given :- }}$

• side of square = 28 cm

• radius of semicircle = 14 cm

• semi circle is removed

$\bf\huge\underline{\underline{ To \: Find:- }}$

• Area of remaining part of square

$\bf\huge\underline{\underline{ Formula \: used :- }}$

• $\bf\red{Area \: of \: square = a² }$

• $\bf\blue{Area \: of \: semicircle = \frac{πr²}{2}}$

$\bf\huge\underline{\underline{ Answer :- }}$

Part - 1

$\boxed{\bf\blue{ AREA \: OF \: SQUARE}}$

• Side = 28 cm

$\rightarrow \bf{Area = side² }$

• $\red{\implies} \bf{ Area = 28² }$

• $\red{\implies} \bf { \underline{Area = 784 cm²} }$

Part - 2

$\boxed{\bf\blue{ AREA \: OF \: SEMICIRCLE }}$

• radius of semicircle = 14 cm

• π = 3.14

• $\rightarrow \bf{ Area = \frac{ πr²}{2}}$

• $\red{\implies} \bf {Area = \frac{ π × 14² }{ 2 }}$

• $\red{\implies} \bf{\underline{ Area = 307.72 cm²}}$

Part - 3

$\boxed{\bf\blue{AREA \: OF \: REMAINING \: PART } }$

• Area of remaining part = area of square - area

Area of remaining part = area of square - area of semicircle

• $\red{\implies}\bf Area = 784 - 307.72$

• $\red{\implies} \bf Area = 476.28 cm²$

$\rule{10cm}{0.05cm}$

Area of remaining part = 476.28 cm²