A square field has a diagonal of $\surd98$ m. What is its area?
A square field has a diagonal of $\surd98$ m. What is its area?
एक वर्गाकार मैदान का विकर्ण $\surd{98}$ मीटर है। इसका क्षेत्रफल क्या हैं?
Detailed Solution & Logic
Correct Answer:
$ 49 m^2 $/ 49 वर्ग मीटर
Solution:
$ \text{For a square, } d^2=2a^2 $
$ d=\sqrt{98} $
$ d^2=98 $
$ 2a^2=98 $
$ a^2=\dfrac{98}{2}=49 $
$ \text{Area}=a^2=49\ \text{m}^2 $
Answer : $49\text{m}^2 $ /49 वर्ग मीटर
Similar Practice Questions
The radius of the base of a right circular cone is 9 cm and its slant height is 49 cm. Find the curved surface area of the cone.
The radius of the base of a right circular cone is 9 cm and its...
The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What is the central angle (in radians)?
The area of a sector is \(18\pi \text{cm}^2\), and its radius is 6 cm. What...
A cuboid has a volume of $ 350 \text{cm}^3$ and its length is twice its height. If the breadth is 7 cm, find its dimensions.
A cuboid has a volume of $ 350 \text{cm}^3$ and its length is twice its...
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides are 24 cm and 20 cm, find the distance between the parallel sides.
The area of a trapezium is 330 cm\(^2\). If the lengths of its parallel sides...
Two cubes of edge 5 cm are joined to form a cuboid. Find the total surface area of the cuboid.
Two cubes of edge 5 cm are joined to form a cuboid. Find the total...
The number of diagonals of an n-sided regular polygon is 665. What is the value of ‘n’?
The number of diagonals of an n-sided regular polygon is 665. What is the value...
Two circles have radii of 12 cm and 4 cm. If The length of a distance between their centers?
Two circles have radii of 12 cm and 4 cm. If The length of a...