The angle of a sector of a circle is 90∘. The ratio of the area of the sector and that of the circle is ______.
A
4:1
B
3:1
C
1:4
D
3:1
Video Solution
Text Solution
The correct Answer is:C
Area of circle=πr2
Area of sector=90∘360∘×πr2
The required ratio =90∘360∘×πr2:πr2⇒14:1
⇒1:4
|
Updated on:21/07/2023
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Knowledge Check
- Question 1 - Select One
The angle of a sector of radius 14 cm is 90∘. The area of the sector is ________.
A144cm2B154cm2C162cm2D196cm2 - Question 1 - Select One
The angle of a sector of radius 14 cm is 90∘. The area of the sector is ________.
A144 cm2B154 cm2C162 cm2D196 cm2 - Question 1 - Select One
The angle of a sector of a circle is 108∘ and radius of the circle is 15 m. The ratio of the circumference of the circle and the length of the arc of the sector is _______
A3:10B10:3C1:3D3:1 - Question 1 - Select One
The angle of a sector of a circle is 108∘ and radius of the circle is 15 m. The ratio of the circumference of the circle and the length of the arc of the sector is _______
A3:10B10:3C1:3D3:1 - Question 1 - Select One
The area of a sector of a circle is 77 sq cm and the angle of the sector is 45∘. Find the radius of the circle.
A7 cmB14 cmC21 cmD28 cm - Question 1 - Select One
The angle of a sector of a circle is 72∘ and radius of the circle is 10 m. The ratio of the circumference of the circle and the length of the arc of the sector is ________.
A5:1B1:5C4:1D1:4
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