find the area of the shaded region if abcd is a rectangle with sides 8cm and 6cm
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Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle. [CBSE 2014]
Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle. [CBSE 2014]
Byju's Answer Standard X Mathematics
Areas of Different Plane Figures
Find the area... Question
Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle. [CBSE 2014]
Open in App Solution
In right triangle ABC
AC2 = AB2 + BC2 = 82 +62 = 64 + 36 = 100 ∴ AC2 = 100 ⇒ AC = 10 cm
Now, Radius of circle(OA)
=12AC=5cm
Area of the shaded region = Area of circle − Area of rectangle OABC
π π =πOA2-AB×BC =227×52-8×6 =78.57-48 =30.57cm2
Hence, the area of the shaded region is 30.57 cm2.
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SIMILAR QUESTIONS
Q.
Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle.
Q. In the given figure, ABCD is a rectangle with AB = 80 cm and BC = 70 cm, ∠AED = 90° and DE = 42 cm. A semicircle is drawn, taking BC as diameter. Find the area of the shaded region. [CBSE 2014]
[Use π = 3.14] [CBSE 2012]
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Areas of Different Plane Figures
Standard X Mathematics
Find the area of the shaded region if ABCD is a rectangle with sides 8 cm and 6 cm and O is the center of circle. (Take pi = 3.14)
Click here👆to get an answer to your question ✍️ Find the area of the shaded region if ABCD is a rectangle with sides 8 cm and 6 cm and O is the center of circle. (Take pi = 3.14)
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Question
Find the area of the shaded region if ABCD is a rectangle with sides 8cm and 6cm and O is the center of circle.(Takeπ=3.14)
Medium Open in App Solution Verified by Toppr From the figure
Diameter of circle is equal to Diagonal of rectangle
⟹radius= 2 1 6 2 +8 2 =5 cm
Area of circle is πr
2 =π(5) 2 =25π=78.5cm 2
Area of rectangle is l×b=6×8=48 cm
2
Area of shaded portion = Area of Circle − Area of Rectangle
=78.5−48=30.5 cm 2
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In the given figure, ABCD is a square of side 5 cm inscribed in a circle. Find the area of the shaded region104 12 SIMILAR QUESTIONS [Take π=3.14]
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Find the area of the shaded region.
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In fig., an equilateral triangle ABC of side 6 cm has been inscribed in a circle. Find the area of the shaded region. (Take π=3.14)
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Find the Area of the Shaded Region in the Given Figure, If Abcd is a Rectangle with Sides 8 Cm and 6 Cm and O is the Centre of the Circle.
Find the Area of the Shaded Region in the Given Figure, If Abcd is a Rectangle with Sides 8 Cm and 6 Cm and O is the Centre of the Circle.
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Find the area of the shaded region in the given figure, if ABCD is a rectangle with sides 8 cm and 6 cm and O is the centre of the circle.
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SOLUTION
In right triangle ABC
AC2 = AB + BC2 = 82 + 62 = 64 + 36 = 100 ∴ AC2 = 100 ⇒ AC = 10 cm
Area of the shaded region = Area of circle − Area of rectangle OABC
OAABBC ⇒π(OA)2-AB×BC ⇒227×(5)2-8×6 = 78.57 - 48 = 30.57 cm2
Hence, the area of the shaded region is 30.57 cm2.
Concept: Area of Circle
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Chapter 18: Area of Circle, Sector and Segment - Exercise 18A [Page 823]
Q 43 Q 42 Q 44
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RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Exercise 18A | Q 43 | Page 823
2018-2019 (March) 30/1/3 (with solutions)
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