1. A circle circumscribes a square. What is the area of the square?I. Radius of the circle is given.II. Length of the tangent from a point 5 cm away from the centre of the circle is given.





Write Comment

Type in
(Press Ctrl+g to toggle between English and the chosen language)

Comments

  • By: anil on 05 May 2019 02.31 am
    As the circle circumscribes the square, diameter of the circle= diagonal of the square. Let the side of the circle be s. If we can determine the value of s, then we can find the area of the square $$s^2$$. Statement 1: Let the radius be r. 2r = $$s sqrt{2}$$. Hence, s = $$rsqrt{2}$$. Thus, we can find the area of the circle using this information. Statement 2: This scenario can be drawn as shown below: A line drawn from the center of the circle intersects the tangent at an angle of 90°. Hence, the triangle formed is a right-angled triangle with the hypotenuse of 5 cm, one side equal to the radius of the circle and second side equal to the length of the tangent. If the length of the tangent is known then we can calculate the radius using Pythogoras theorem. If the radius is known, the area of the square can be calculated as shown above.
Tags
Show Similar Question And Answers
QA->Which country has the highest average of road length on per thousand square kilometer area basis?....
QA->From a given point, how many tangents can be drawn to a circle?....
QA->The least number of square tiles required to pave the floor of a room having length 11m 47 cm and 10m 36cm breadth is ...........
QA->A soap bubble is given negative charge then what happen in its radius?....
QA->A train of length 150 meters took 8 seconds to cross a bridge of length 250 meters. Time taken by the train to cross a telephone post is :....
MCQ->Let $$S_1$$ be a square of side 4 cm. Circle $$C_1$$ circumscribes the square $$S_1$$ such that all its corners are on $$C_1$$. Another square $$S_2$$ circumscribes the circle $$C_1$$. Circle $$C_2$$ circumscribes the square $$S_2$$, and square $$S_3$$ circumscribes circle $$C_2$$, & so on. If $$A_N$$ is the area between the square $$S_N$$ and the circle $$C_N$$, where N is the natural number. then the ratio of sum of all $$A_N$$ to $$A_l$$ is ....
MCQ->Let $$A_{1}$$ be a square whose side is a metres. Circle $$C_{1}$$ circumscribes the square $$A_{1}$$ such that all its vertices are on $$C_{1}$$. Another square $$A_{2}$$ circumscribes $$C_{1}$$. Circle $$C_{2}$$ circumscribes $$A_{2}$$, and $$A_{3}$$ circumscribes $$C_{2}$$, and so on. If $$D_{N}$$ is the area between the square $$A_{N}$$ and the circle $$C_{N}$$, where N is a natural number, then the ratio of the sum of all $$D_{N}$$ to $$D_{1}$$ is:....
MCQ->A circle circumscribes a square. What is the area of the square?I. Radius of the circle is given.II. Length of the tangent from a point 5 cm away from the centre of the circle is given.....
MCQ-> Each of the questions below consists of a question andtwo statements numbered I and II given below it. You have to decide whether the data provided in the statements are suf icient to answer the question. Read both the statements and - Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question. Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question. Give answer c: if the data either in Statement I alone or in Statement II alone are sufficient to answer the question. Give answer d: if the data even in both Statements I and II together are not sufficient to answer the question. Give answer e: if the data in both Statements I and II together are necessary to answer the question. What is the position of point F with respect to point I ? I. Point G is 5 km east of point F. Point S is 5 km north of point G. Point H is the mid point of points G and S. Point I is to the south of point H in such a manner that point G is the mid-point of points H and I. II. Point A is 10 km east of point F. Point B is 5 km south of point A. Point H is the midpoint of points A and B. Point I is 5 km south of point H. Point I is to the east of point L at a distance of 5 km.....
MCQ->Point D is in which direction with respect to Point B? I) Point A is to the west of Point B. Point C is to the north of Point B. Point D is to the south of Point C. II) Point G is to the south of Point D. Point G is 4m. from Point B. Point D is 9m. from point B. III) Point A is to the west of Point B. Point B is exactly midway between Points A and E. Point F is to the south of Point E. Point D is to the west of Point F.....
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use
DMCA.com Protection Status Powered By:Omega Web Solutions
© 2002-2017 Omega Education PVT LTD...Privacy | Terms And Conditions