The formula to find the Length of the arc = (2r) (θ / 360°)
Substituting the values
Length of the arc = (2) (40) (324° / 360°)
By further calculation
= (80) (0.9)
So we get
= (80) (3.14) (0.9)
= 226.08 cm.
Therefore, the length of the arc is 226.08 cm.
Hope this helps
Answer:
332°
Step-by-step explanation:
Given is an isosceles triangle,
Measures of base angles of an isosceles triangle are equal.
Therefore,
Measure of central angle
= 180° - ( 76° + 76°)
= 180° - 152°
= 28°
Measure of shaded angle
= 360° - 28°
= 332°
Answer:
175 ft
Step-by-step explanation:
From the question,
(a) ΔABC and ΔEDC are similar because all the angles in ΔABC is equal to the corresponding angles in ΔEDC.
I.e, ΔABC is equiangular to ΔEDC. (AAA).
(b) From the diagram.
for similar angle, ratio of corresponding sides are equal
100/d = 4x/7x
100/d = 4/7
where d = distance across the river
solve for d
d = (100×7)/4
d = 175 ft