A,B,C and D are points on a circle. ABCD is a square of side 7 cm. Work out the total area of the shaded regions. Give your answer correct to the nearest whole number.

To work out the shaded area, we first need to calculate the area of the square and the area of the circle. The shaded area is equal to the area of the circle minus the area of the square.
The area of the square is length times width, which would be 7 * 7 = 49 cm squared.
The area of the circle is π * r * r . We do not have the radius of the circle, but we can calculated the diameter using pythagoras' theorem (a^2 + b^2 = c^2). c^2 = 7^2 + 7^2 = 49 +49 = 98. Since c squared = 98, c ( the diameter of the circle) is the square root of 98 or 7 root 2. From this we can calculate the radius as (7 root 2)/2. We can put our value for the radius into the equation π * r * r to get the area of the circle which is 76.97(2 d.p)
Therefore the area of the shaded region is equal to 76.97 - 49, which equals 27.96. So the answer will be 28 as we need to round to the nearest whole number.

AS
Answered by Avnish S. Maths tutor

15146 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The range of a set of numbers is 15 1/4. The smallest number is –2 7/8. Work out the largest number.


Write x^2 + 4x + 18 in the form (x + a)^2 + b, where a and b are constants to be determined.


The equation of line L1 is y=5x-2. The equation of line L2 is 4y-20x=6. Show that these two lines are parallel.


Solve the simultaneous equations: x2 +y2 =5 and y = 3x + 1


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences