assume the square side = x, then its circumference = 4x
so the circle circumference would be 89 - 4x which equals 2pi r
so x = 1/4 (89 - 2pi r)
now A(r) = x^2 + pi r^2
= [1/4 (89 - 2pi r)]^2 + pi r^2
diff. w.r.to r u get:
dA/dr = 1/8 (89-2 pi r)(-2 pi) + 2 pi r = 0
2pi r - pi/4 (89-2 pi r) = 0
2r - (89 - 2 pi r)/4 = 0
2r + pi r /2 = 89/4
mult. the eqn by 4 and solve for r u get:
r = 89 / (8 + 2pi) cm
and the circle circumference = 2 pi r = 2 pi 89 / (8 + 2pi)
= 178 pi / (8 + 2pi) = 89 pi /(4 + pi) cm
hope this helps
A line that passes through 2 points on a circle is called a secant not to be confused with chord which is a segment not a line.
Answer:
arc QM = 38°
Step-by-step explanation:
the inscribed angle NQM is half the measure of its intercepted arc NM , so
arc NM = 2 × 90° = 180°
the sum of the arcs in a circle = 360° , then
QN + NM + MQ = 360° , that is
142° + 180° + QM = 360°
322° + QM = 360° ( subtract 322° from both sides )
QM = 38°
Answer: first calculate the formula of sin and remodel the shape and you get (6,7)
