Calculating red area.
a²+7² = 25²
a² = 625-49
a = √(576)
a = 24 units.
sinb = 24/25
b = asin(24/25)°
c = 180-b
c = 180-asin(24/25)
c = 106.260204708°
sin(0.5*106.260204708) = (0.5*25)/d
d = 15 units.
d is each length of the congruent lengths.
e²+(0.5*24)² = 15²
e² = 225-144
e = √(81)
e = 9 units.
f = ½(25) units.
f is the radius of the ascribed half circle.
It implies the red area is;
Area half circle with radius ½(25) units - Area triangle with height and base 24 units and 7 units respectively - Area triangle with height and base, 9 units and 24 units respectively.
½(25/2)²π-½(7*24)-½(9*24)
= ⅛(625)π-84-108
= ⅛(625)π-192
= ⅛((625)π-1536) square units.
= 53.4369260617 square units.
We appreciate you contacting us. Our support will get back in touch with you soon!
Have a great day!
Please note that your query will be processed only if we find it relevant. Rest all requests will be ignored. If you need help with the website, please login to your dashboard and connect to support