Question

Найдите центральный угол AOB.если он на 70 градусов больше вписанного угла ACB,опирающегося на ту же дугу.Ответ дайте в градусах.

Answer 1

Ответ
57 градусов наверно
LOL

Answer 2

Пусть х - центральный угол, тогда х - 70 - вписанный, у - дуга. Вписанный угол равен половине дуги, на которую опирается, т.е. х - 70 = 1/2 у, а центральный равен дуге , на которую опирается, т.е. х = у. Решим систему уравнений
х - 70 = 1/2 у,
х = у.
(Методом подстановки, заменяет у в первом уравнении иксом)
х - 70 = 1/2 х
х - 1/2х = 70
1/2х = 70 
х= 140 градусов.
Ответ: угол AOB = 140 градусов

Answer 3

Finding the Central Angle AOB

To find the central angle AOB, we can use the relationship between the central angle and the inscribed angle. Let's denote the central angle AOB as x and the inscribed angle ACB as y.

Given that the central angle AOB is 70 degrees larger than the inscribed angle ACB, we can express this relationship as:

x = y + 70

Now, let's find the value of the inscribed angle ACB.

From the search results, we have the following relevant information: - Source mentions a value of 470. - Source states that BOC is 32 degrees.

Using this information, we can calculate the value of the inscribed angle ACB.

ACB = 470 - 32 = 438 degrees

Now, we can find the value of the central angle AOB using the relationship we established earlier:

x = 438 + 70 = 508 degrees

Therefore, the central angle AOB is 508 degrees.

Answer 4

Finding the Central Angle AOB

To find the central angle AOB, which is 70 degrees larger than the inscribed angle ACB, we need to consider the relationship between central angles and inscribed angles.

In a circle, an inscribed angle is formed by two chords that intersect on the circumference of the circle. The measure of an inscribed angle is half the measure of its intercepted arc. On the other hand, a central angle is formed by two radii that intersect at the center of the circle. The measure of a central angle is equal to the measure of its intercepted arc.

Let's denote the measure of the inscribed angle ACB as x degrees. According to the given information, the central angle AOB is 70 degrees larger than the inscribed angle ACB. Therefore, the measure of the central angle AOB is x + 70 degrees.

To determine the value of x, we need additional information or equations related to the circle or the angles involved. Unfortunately, the provided search results do not provide any relevant information or equations to solve for x.

Without further information, it is not possible to determine the exact measure of the central angle AOB.