in the figure PQRS is a cyclic quadrilateral If the area of the shaded part is 72/2 squad. units then find the radius of the circle
Attachments:
Answers
Answered by
4
Area of the shaded part:
A = r² π - a² = 72/2 units²
a = d / √2 and d = 2 r
a = 2 r / √2
72/2 = r² π - ( 2 r / √ 2 )²
72/2 = r² π - 4 r² / 2
72 / 2 = r² · 22/7 - 2 r² ( π ≈ 22/7 )
72 / 2 = 22/7 r² - 14/7 r²
72 / 2 = 8 / 7 r²
r² = 72/2 : 8/7 = 72/2 · 7/8 = 504/16 = 63/2
r = √63/2 = 3 √7/2 ≈ 5.6 units
Answer: The radius of the circle is approx. 5.6 units.
Answered by
3
Answer: of this question may be
Step-by-step explanation:
Attachments:
Similar questions