a circular plate is of radius 14 cm. If a circular portion of radius 7 cm cut out from the centre, find the area of remaining part. ( Take pie=22/7)
Answers
Answer:
Radius of circular sheet(R)=14cm and Radius of smaller circle(r)=3.5cm
Length of rectangle(l)=3cm and breadth of rectangle(b)=1cm
According to question,
Area of remaining sheet=Area of circular sheet−[Area of two smaller circle+Area of rectangle]
=πR2−[2(πr2)+(l×b)]
=722×14×14−[(2×722×3.5×3.5)−(3×1)]
=22×14×2−[44×0.5×3.5+3]
=616−80
=536cm2
Therefore the area of remaining sheet is 536cm2.
Question :-
A circular plate is of radius 14 cm. If a circular portion of radius 7 cm cut out from the centre, find the area of remaining part. ( Take π = 22/7)
Solution :-
Required area is shown as a shaded region in adjoining figure.
Procedure :-
Radius of outer circle = R = 14cm.
Radius of inner circle = r = 7 cm
Required area = π ( R² - r² )
=> 22/7 ( 14² - 7² ) cm²
=> 22/7 ( 196 - 49 ) cm²
=> 22/7 × 147 cm²
=> 462 cm²
Therefore ; 462 cm² is the area.
